Two things at a guess:
1. As soon as the lift is available to fans, many will want to use it. From the genuinely needy to the "I'm a bit tired today and don't fancy the steps" brigade, and a bottleneck of people waiting could develop.
2. People need to be able to evacuate the stadium at a...
Quite correct on hospitality although, from my experience, a blind eye is readily turned to those who want to drink during the game too so long as they pour their beer into a tea mug.
I like your suggestion but just can't see it happening as there WILL be people who save their drink(s) for...