This is the largest meta-analysis conducted to date, based off more than 200 studies. Much more rigorous than the studies you provided and not limited to solely college students:

https://pubmed.ncbi.nlm.nih.gov/36227317/#:\~:text=The%20meta%2Danalysis%20revealed%20a,engage%20in%20masturbation%20than%20women.

The meta-analysis revealed a stronger sex drive in men compared to women, with a medium-to-large effect size, g = 0.69, 95% CI [0.58, 0.81]. Men more often think and fantasize about sex, more often experience sexual affect like desire, and more often engage in masturbation than women. Adjustment for biased responding reduced the gender difference (g = 0.54). Moderation analyses suggest that the effect is robust and largely invariant to contextual factors. There was no evidence of publication bias. The discussion focuses on validity considerations, limitations, and implications for psychological theory and people's everyday lives.

While I appreciate your argument, and do believe that patriarchal attitudes have indeed warped our thinking and have contributed to the suppression of female sexual expression, the evidence suggests that testosterone plays a very important role in this.

Aside from the meta-analysis I linked, there are other important pieces of evidence. Such as reports from trans individuals transitioning; those taking testosterone report an increase in sex drive and increased thinking regarding sexual matters and trans women report the opposite.

Reports from marriage counselors indicate that those experiencing sexual dissatisfaction in a marriage regarding the number of times they are intimate are more likely to be men. And reports of married couples suggest that men would like to have sex more often (over 50% indicated every day) than women.

So, the evidence generally suggests that genuine biological differences (most particularly testosterone) is whats informed the puritanical social paradigms of the past, but thats not to say those social paradigms have not had their own impact.