I occasionally use a transport chair but much more often a walker with wheels. So I'd say I'm considerably more mobile and able than someone who uses a wheelchair, but still weak, tired, ill and mostly can't go anywhere the walker can't go. Recent experiences:
After bin men have been, walk a few feet along the pavement, stop, move someone's wheelie bin, walk a few feet, stop, move someone's wheelie bin... the bins even empty can be quite heavy and I find it tiring, but at least I can do it! Not everyone can. People's landscaping companies leaving big bags of garden rubbish etc on the pavement, and those I can't move.
Went into a shop in a mall which was on various levels. There was street access to one level of the shop which was a bit like a landing, with no till, and stairs up and down to the other levels. Around the corner was a little platform lift with a sign to push a button to summon staff who never answered it. I had something I wanted to buy but there was no way of doing it so I left it.
Shops: narrow aisles, things blocking aisles, steps up to shop, steps down to shop, heavy doors and so on. Heavy doors even in hospitals, sometimes there are some automatic doors and some not and nobody seems to think it's an issue.
Lifts in hospitals where all the able bodied people make a dash for the lift and by the time I get there with my walker the door closes in my face. I know all the lifts in the hospital I'm in the most, and try to use the least busy ones because of this.
And so on, and my needs are trivial compared with people who use wheelchairs.