In NYC in 27 min u would make the most 7 miles with uber, if you are lucky - Traffic. I guess dense cities are places where services like uber really work well.
Would have been able to find a taxi the moment you wanted it? Would you have trusted a random cab driver in your drunken stupor more than you trusted the Uber driver.
From my experience in Sydney, Aus (the author didn't mention what city he was in), every time I use Uber I feel like an idiot standing on the street corner waiting for my Uber driver to arrive while streams of available cabs go by.
I've only used Uber 5 times, but I'm not convinced this is the problem they are solving. Not in this city anyway.
Interestingly I have the opposite experience in Melbourne, Aus. I used to stand/walk/chase down empty cabs trying to get home but none would stop or just say things like "not far enough" or "i'm not going that way". This was true even at cab ranks.
Now I stand waiting for an Uber for a few minutes and 1. it turns up 2. they never complain about distance or direction and 3. I get home safely.
I do however mostly avoid crazy surcharge periods.
I used to stand/walk/chase down empty cabs trying to get home but none would stop
Not sure about Australia, but in many parts of Europe it's uncommon stopping a cab by waving your hand while standing by the street. Some even charge higher fees if used this way. A common way is to order it by phone or app and wait for notification that it has arrived.
Same here in Melbourne. Tried to get a cab from cbd to office last week. Thought it would be easy to get a cab as so many around. Nope. None would stop. Uber it was, arrived a few minutes later (and $13.50 vs usual $25 for cab).
Work Christmas party last week used a cab app as Uber was surging to ~2x. Did have to offer a $10 tip in the cab app to get one to accept.
The beauty of Uber is you don't have to order when you hit the street. Order when you are still in the office/pub etc. Obviously it's not nice to make the drivers wait, but at the same time you can let them almost arrive before heading to the street. Uber sends that 'arriving' pre-warning to let you know.