Choppography:
You have to look at both sides to get an accurate view of the putt in some cases. However, I think it's a 'feel' thing per individual. That said, I'm a reverse angle guy, especially when I hit the ball. I want to watch what it does near the hole as it's dying.
I like players like you, when they're putting before me. I watch THEIR putts roll from reverse view - the last 2 or 3 ft especially.
But me? Line it up in reverse, back to normal view, make the stroke. When there is a break I like to putt into the break, that is to miss the ding slightly on the uphill side of the break. IOW, if break is left - right, just a tad early; if break is right to left, just a tad late.
If you're a 'ding is king' type of putter, then it probably doesn't make any difference because your focus is entirely on the meter itself - once you've decided on a line and speed. But for my style, putting in reverse messes with my reflexes.