I'll drop the cause after this post, because I'm not sure what's got you so adamantly against my recommendation...to be honest, the OP simply asked if anyone had any opinion or experience with the two lenses he listed, I did, so I replied. You told him to look at something else entirely...which is fine too, but doesn't really answer the question he asked...I just pointed out that the price difference between high end dedicated primes and these two telezooms is a bit steep. No reason for a 'third opinion'. I shoot with dedicated primes too - given an unlimited budget and a serious intent to get into wildlife shooting, I'd agree one of those might be the way to go.
If it's just a person who might occasionally shoot wildlife, practically any camera and lens can do in a pinch. A heron sitting on a rail 10 feet away doesn't require special lenses, but it sounded like the OP was actually looking to get into bird and wildlife photography a bit more, and longer reach is always a good thing, with variable reach being good for beginners to bird photography, until you get to know the behavior of the birds in your area and how much reach you need and how much light you have.
And yes...some can get by just fine with a cheap $100 telephoto lens - in fact, I can get by with a compact system camera and a $10, 35-year-old manual focus lens:
But that still doesn't help the OP decide between the two lenses he listed. By all means, get as many opinions as possible - I believe that was why he posted the thread in the first place - to get a lot of opinions. Mine's one of them. But I can definitely affirm that I have been birding a long time, and the Tamron 200-500mm as well as the Sigma 50-500mm have both been well respected and are well represented among both amateur and established wildlife photographers for years...even when we also shoot with some very expensive, very heavy, fast, white metal primes. There are lenses that are sharper, and there are lenses that are not. There are better alternatives, but there are also worse ones - having a very good telephoto focal range with a decently sharp lens and a long reach for under $900, there are very few options as versatile and good as the Tamron and Sigma long zooms mentioned here.