Both.

Sex can be/is too often "taking" and yet 'giving' is the higher connection

I believe sex is just one part of intimacy. If one jumps only into sexual pursuits rather than exploring other forms of intimacy, it proves that the person does not respect other one. It should be a connection rather than sexual hunger alone. One needs to cross 1st level of Maslow's hierarchy of needs to enjoy real intimacy

One is not more important than the other to me, but each can happen without the other.

I only value affection, cuddling, emotional honesty and being there for each other.

It’s honestly difficult for me to be into someone sexually unless we connect on a deeper level in the first place. I’m not against having a one night stand or a FWB, but it just never happened for me. I seek connection first and foremost.

It depends

The answer depends on who is making the decision.

Other parts of intimacy lead to great sex or that is what I remember, because it was ever so long ago........Oh those were the days....... I so miss them.......

We enter relationships to share & experience our highest conception of self and a relationship with another you love & trust is the perfect way to do that. One may view sex as someone doing something to you but if you think about it...we only experience what we ourselves allow and perceive during intimacy & sex with another. So if one partner values sex or a certain type of intimacy while another does not, chances are the relationship will suffer unless there is an equal exchange/fulfillment for both partners in the area's they hold value. This is why communication & honesty are paramount to a healthy relationship.