Hilbert's Hotel is fundamentally flawed

There is no fitting category for this so I just chose "Quiz/Surveys", because I feel like it comes closest. LIVE WITH IT! 

So I just watched a rather old Video by Vsauce about Hilbert's Hotel, if you're unaware of what that is, watch this short video where it is quickly explained: https://www.youtube.com/watch?v=OxGsU8oIWjY

So... If there are infinite people in the Hilbert Hotel, and we're just gonna assume that infinite many people exist, then each one one of them would quickly switch hotels. Because every single time when a new guest checks in, they would have to move rooms. And in a Hotel that often than not happens more than once a day. So most people probably would never even settle down into their respective rooms because sooner or later, they will have to switch rooms anyways. And that is a 24 hours thing, often in hotels people can also check in at night, so the others will have to get up in the middle of the night just so a middle aged Gerald in a failing marrige can stay there for the night. Just horrible, nobody would actually want to spend their time in such a hotel. 

And just imagone what a pain in the metaphorical ASS it would be to live in room numer 235836782673289640. Horrible!! You'd have to years days just to get out of the hotel! That are (assuming the doors are sepperated by just 1 meter) 471673565346579.24km so with 5km/h (which is about the average walking speed) it would take you 10768802861.79 YEARS to walk there. By that time you're DEAD! And I don't think an elivator will help much. The Halls would be constantly floated with people because of course, at least the ones who didn't devote their existence to stay in this hotel until they die and longer will want to go outside as long as they still have a room number with just 4 digits. So picture this: you didn't leave this hotel for about a year now and then, when you move to another room for the 16th time this day you find a half rotten corpse of some loser named Jerry who had his 87.47th birthday yesterday. 

How would you even get rid of that body? The only thing I can imagine making sense is that in every hotel room there's a small metal door where you can throw your garbage down into an infinitely deep pit. Sure, why not? We're already dealing with an infinitely large hotel, why not introduce an infinitely deep hole as well, as long as it's actually infinite and not like the one from the stanley parable, or the one from gravity falls. But even with all your garbage removed all your stuff will still get dirty, just from you being there. And even if you aren't, dust will form. Who's gonna clean that? You? I don't think so. The ordinary hotel room doesn't offer fitting supplies for cleaning everything in it. And even if, that supply would be finite. The room will probably only be cleaned by each cleaner once, because they will spend the rest of their jobs cleaning other rooms, adn mentioned room number 235836782673289640 will probably never get clean! I don't even know how one could get that room! So at some point the hall itself will probably get very ugly too, as there hasn't been a cleaner yet who lived long enough to reach that part of the hotel. It'll all be muckey and dirty and most likely stinky. 

Would you like to live in hilbert's hotel? I sure wouldn't! 

Anyway, good night and stay silly ^w^