yup, it depends...
How do you decide which disc on which line you throw on any shot? You use your best judgment under the circumstances.
If you have multiple options (and multiple skills) and it is NOT during an important round then one consideration is developing your long term competence. Long term you want to master every line; forehand, backhand, overhead and roller. Which of these lines is most open for the shot you are facing? Not which line is easiest or hardest for YOU to throw today,(given your current skills) but which line is truly the most open? Pick the most open line and throw that. Shoot at the biggest gap. When you shoot the biggest gap you increase the margin of error to your favor.
All of us have shots which are more comfortable. We are better at some shots and more confident in them. Some players will throw that comfortable line even if it is a tight, difficult line while ignoring the more open alternative.
Eventually we all face the situation where there is only one line. If you haven't practiced that line then you are not adept at that shot. So in your next casual round, look at the lines you face and evaluate them honestly, then throw the most open line. You will miss some shots doing this but long term you make yourself a better golfer.
A rhbh anhyzer and a rhfh hyzer both break to the right. They don't fly identical paths, though. Generally the anhyzer starts turning earlier in its flight. So for an early turn the anny makes more sense. For a late turn the hyzer works better.