If Christ were to walk into the Church tomorrow, I wouldn’t do a belly flop in front of Him, nor would I crawl towards Him on my knees.
A lot of what we feel as reverence is because that is what we were taught was reverence. However, Christ doesn’t call us to “feel” reverent, but to be reverent. There is a difference - feelings are emotions, and they come and they go; sometimes they are appropriate, sometimes not.
It isn’t what you feel, it is what you do. The bishops have said we stand. Standing is also a sign of respect.
Standing is also a much easier position in which to receive the Cup, as well as the Host. The Church has not required us to receive both, but they certainly have indicated that is preferred.
There are those who do not wish to receive from the Cup, and they are certainly permitted to not receive (although I often wonder if it was Christ Himself standing there offering the Cup, how many who won’t receive now would then); however, given that the bishops have permitted and encouraged reception under both species, I would think that we could put personal preference aside and allow the rest of us to receive as we are encouraged and we wish.