The biggest advantage for saddles is mobility and easy of quiet setup. For permanent stand locations the advantages are fewer, mostly just more shot angles or personal preference.. I personally think my saddle is less comfortable than a stand but they are far easier to carry in and set up quietly and are comfortable enough for several hours. Although, I use a DIY fleece saddle not a $350 commercial one so mine is probably not as nice as those. Comfort may be more if you had a commercial saddle but I can't speak to that.
I feel more comfortable maneuvering for a shot from a saddle than a stand. In a saddle I can move freely and FEEL the ropes holding me securely vs. a stand I feel nervous trying to turn and pivot for a shot because I am subconsciously worried of falling off the edge of the platform and having that "falling feeling" before the harness catches me. You don't have that with a saddle. Not to mention a sudden stop after even just a foot or two drop is going to hurt.
As to the shot angles, I suggest buying a cheaper rock climbing harness, some climbing rope, and some fleece to use as your saddle. Test it out from your hang on's platform and see what you think. Or save more money and skip the climbing rope and just buy some sturdy rope to test it AT GROUND LEVEL... DON'T use anything but climbing rope or amsteel if you are at any height at all. Buy a cheap DIY setup and see if it's worth investing more to you. All said and done, I prefer my saddle.