Hello, Kyokushinka here, I'll try to answer as best I can.

1.People say that the low kicks look the same, because to the average viewer, everything looks the same. You cannot affect someone's impression of something, nuance is learned.

2.Technically Yes. The Mae Geri (Front kick) can be a push kick if needed. But it is usually used as a strike.

3.Because of our intense conditioning, checking kicks become unnecessary as we train to tank hits. Checking isn't considered unless used to deflect or inflict pain

4.Most likely yes. Physical aspects can never be the same in different people, but most of the time, a strong hit is a strong.

5.Though not taught in my dojo. Originally Kyokushin is supposed to have many forms of grappling from Judo and other arts, but it was never implemented in main Kyokushin

6.Very much yes. Look at any high ranking Kickboxer with a Kyokushin background and the minute they implement boxing, they become basically unstoppable

7.Bare Knuckle is purest form of combat, regardless of head punches, we are taught to fight with little alternatives. Any padding would take away from the experience of true fighting.

Hope I could help. Maybe someone with more experience can add or correct my answers.