This is only logical to me, not something I know to be true.
If you're getting full glide and forward fade on a flat release, a hyzer-flip won't add any distance. Unless you can add more power on a more hyzer release.
You can release a disc at a certain speed. It will gain distance and lose speed until it's either fading sideways or stopped. The initial speed and loss of speed would seem to me to be equal to a flat or hyzer release. Unless that is untrue, you're just looking for a "full" flight; where the disc turns over into a forward penetrating fade and has enough height to fade "completely". More hyzer will decrease the forward penetration of the fade.
Massive anhyzers are thrown for distance in certain wind conditions (tailwind, from non-throwing to throwing side, ideally) because you can show the wind the underside of your disc and get more carry.