Personally, no needs to be that close to me in the first place!
Let's be clear, we're talking about walking around in a Disney Park. For most of us, even a small umbrella will double the floorspace we occupy. Imagine a toddler in a crowded line with his arms straight out just spinning like a top, that's an umbrella.
PSA: It may just be me but, please do not use drinking fountains to wet
cooling towels. There are many places to freshen them but a place where people put their mouth to drink is not a place to rinse/wet a towel that has been used to remove sweat from your body. This grosses me out every single time I see people doing it!!
I would recommend that you never ever watch someone drink from a drinking fountain ever. By design only about 70% of the water that gets pumped into the average user's mouth stays in the user. The rest falls out of that mouth, possibly cascading down the "drinker's" chin or filtered through their facial hair before splashing back into the basin. There is every chance that the returning flow of water is making that trip from the user's mouth to the basin drain with a detour directly across the opening of the port that emitted that water in the first place.
That... that is the pristine state of the water fountain you caution us not to sully by placing an absorbent towel in the path of water. I'm not saying your observations are inaccurate, but your conclusions may be miscalibrated. If you're already okay with drinking out of a beard-broth soaked spittoon, drawing the line and a bit of neck sweat seems churlish.
e.t.a.::: your mouth should not go on any part of the drinking fountain.
e.t.a.::: gratuitous edition::: I watched someone change their baby in a drinking fountain once. EPCOT. Not just as a platform, used the plumbing.
It used to be common that the spigot part of the fountain was a brass or bronze alloy, the copper in either is an amazing antimicrobial. Oddly, concern over potential lead content in these plumbing fittings has scared people off and most are chrome plated even if brass underneath. Sad, because chrome actually pits easy and makes a nice home for ... things and except in crazy odd situations (/sigh Flint, MI) the kinds of PH water needs to get to to pull lead out of plumbing (if it's there at all) is exceedingly rare. (Sorry, getting off my soapbox now)