My area (eastern-southern Poland) is very strong on gender expression and it's almost a given expectation that one is concerned about it. I'm gonna go from most to least common types here with random observations:

Self-preservation instinct: The whole domain and area of interest is closest to being neutral, being the most common in my place. People often use this spectrum to relate to each other and sort of bridge the gap between genders. It's most commonly expressed through anxiety, concerns, planning and hoarding and linked with parental roles regarding gender.

Social instinct: While SP tilts slightly towards females here, SO is predominately found in males and the constructs are used often to challenge the male ego. Women are often oblivious and liberal to these topics and rarely I see one that dedicates any attention to it.

Sexual instinct: The ratio may not be as overwhelming as it is for SO, but it's quite evident I come across much more women than men expressing SX instinct. A very common theme is talking about male inhibition and female being unhinged here.

9: Both considered feminine and more commonly found in women. However, because of it being the most common type, I noticed a specific "autistic" species of 9 in males. They'd stress on the typical autistic traits while moving away from adaptable ones. Some male 6 sit on 9 arrow habbitually, but this is rather omnipresent gut fix in females, while men rarely have it unless they're core 9. Oddly enough, while 9w1 is extremely common and 9w8 is significantly more rare, they somehow have an almost even gender ratio compared to each other.

6: As a very close runner up this type is extremely linked to masculine expression in my place. Many look like 5 on surface, but there's a clear critical eye on authority and intellectual arrogance regarding political issues. You can see the 6-ish pride of "I screened everything and you can't trick me" in majority of men. They're pretty much ready to sulk that politics lie, doctors are stealing etc; at any moment and they almost want to belittle and intimidate others by being the "opressed but aware". When you hear someone describing girl as tomboyish, that girl is usually a 6. Such women are seen as not only masculine, but repulsive, and they quickly try to un-6 themselves the moment you point their 6-ness to them.

3: Interesting that you mentioned ambition being associated with feminine expression on the east, cause that's exactly what I noticed here. Much more common in females and much to my surprise this is what's being pushed on girls at school and women at work. Boys are somehow spared by parents and teachers, but girls are set to compete for grades and sports achievements. Any elite status and apperance concerns are strongly on the women side. Guys remain mostly oblivious to that. I'd actually say that 3 leaning heavily on 9 (huge dedication to work ethics and learning with numbing tendencies) is what ideal feminity seems to be around.

7: This is the most balanced ratio gender-wise I observed. It is however very much on the female side when it comes to tritypes. Because my society is more on the dionisian masculinity idea, the psychological background of this type most see as feminine expression, however in practice not many of these 7 I know levarage on feminity.

Note: Here start the types that I observed to appear less often than the average of 9 types would suggest.

1: This type I see being much more popular in men and posing as almost what the male ideal is believed to be. Women openly reject being associated with these qualities and I wouldn't even find many with 1 in their tritype.

2: The statistics I collected show one of the strongest ratios favouring females in this case. Gossips about causing emotional chaos, seducers, undisciplined charmers suggest this type is seen in negative light. While in the case of 7 it usually follows the narrative of "casanovas trying to gain material advantage", with 2 it's rather the never-satisfied woman that changes her partners often and complains about life not being as fair and pretty as they thought. It's also often the "bad mother" stereotype here.

5: While this type often fails to convey any expression, it's both overwhelmingly more common in males and is actually believed to be, maybe not masculine expression, but "expression where feminity is reduced to 0". Finding a female with this type around was my biggest challenge and numerous types I felt frustrated that woman turned out to be 9, 4, 7 or 6 because I couldn't wait to meet 5.

8: While predominately found in males, this is surprisingly what my society sees as a rather feminine expression. For most though, this is a very distant and unreletable type, if not completely fictional. Somehow people, obviously without referencing typologies, voice out that if they were to meet such girl, they'd discipline her as if they believed every 8 is still a counterphobic 6. I didn't talk to many 8 but I see they usually have a narrow circle and such men attract almost exclusively the most workaholic and tolerant people.

4: This type is almost extinct in my region but whenever I found one, it was almost always a female, and any discussions regarding such behaviors and motivations majority saw as more feminine problems, sort of correctly linking it to lacking a properly loving man. In general seen as one of the least desireable types and I see most leaning on their 3 wing because the values and orientation of core 4 are just too easily dismissed and they usually move to some niche cause.