Every Hammer, SledgeHammer and PowerPak I built featured a tensioner. I learned early- on that pushing in from the back of the belt reduces belt life, so I got away from that.
The reason it reduces belt life is that it causes the belt to flex backwards, after having flexed "forwards" as it goes around the pulleys. As a result, the belt is constantly flexing back and forth, at about 3,000 times a minute, which has an effect that's similar to bending a piece of metal back and forth... it creases and weakens it. This becomes accelerated as the belt is larger, because the tensioner pushes further downward, making the backwards flex even more.
Having a tensioner inside the belt, pulling out, then, is a more natural way for the belt to flex. And using a V-idler on a V- shaped belt poses no problems on a belt's cogs, if it has cogs.
It's true that a serpentine belt, like some used on automobiles and some on riding lawnmowers, however, can flex backwards without noticeably- increased wear / reduced lifespan. But they're specifically designed for that.