I actually just got back from Denver. Falling Rock is a must go place. Very cool folks who know there beer. Tell them the style of beer you want to drink and they will bring you a beer that is one of the best of that style you have ever had. I had a wonderful time there. As others have mentioned, once you are at Falling Rock, you are in a very cool part of town, plenty of places to go get a drink or a bite.
Pints pub isn't exactly walking distance from there, I mean it is close, but I know I wouldn't walk it. Pints Pub is kind of meh for me anyway. I asked the same question you did, and it was recommended. If you have nothing better to do, it is not a bad place to go, it is kind of cool to be able to get cask conditioned beer. However IMO, their beer is sub par. There #1 beer, an ESB called Alchemy, was probably the best beer. It had good flavor, but it had about as much body as a Bug Light. Very average beer at best. But, the food is good, and the people I met were cool, so I had a good time regardless.
Dont miss out on Falling Rock though, you will regret it.