I have used both and I don't think you can go wrong with either. If I had to pick a rest just for pure hunting purposes, I would select the Muzzy. I arrow capture abilities are far more superior to the Trophy Taker. Also, the Muzzy does not hit your riser shelf like the Trophy Taker. This is one of the big complaints I have against the rest. I am currently contemplating trying a dropzone or maybe the new Twister rest from APA to eliminate this riser clank I'm getting from my Trophy Taker.

The TT is very accurate though. So much so that I'm shooting my best scores with it.