I'm not sure what you mean by "MX10 with hydraulics" vs the pull-type MX10. I assume you mean a 3 point hitch (3PH) mount vs. a pull type.
If my assumption is correct, then yes, the 3PH version will "get around corners better" and is more maneuverable in general because you can lift the whole cutter completely off the ground with the 3PH. The pull type uses a hydraulic cylinder attached to the gauge wheel mechanism to raise and lower the cutting height, but the mower is attached to the tractor via the drawbar and the mower's gauge wheels are always on the ground. So, to back it up is just like backing a trailer, which is not as easy as lifting a 3PH mounted mower completely off the ground and backing it up.
The advantage of the pull type in my opinion is that it follows the contours of the ground better than a 3 point hitch mounted cutter. On a 3 point mounted cutter (or any implement), when the nose of the tractor goes down, the implement mounted to the back comes up. Vice versa when the nose of the tractor goes up. Since the pull-type mower (or other implement) is just connected to the drawbar and is not rigidly mounted, the ups and downs of the tractor don't affect it that way, and it has the gauge wheels on the back of the mower to keep the cutting height consistent.
My personal preference is pull type mowers and equipment. I just think they're easier to use unless you have a lot of tight quarters to get into or have to maneuver around a lot of objects. Unfortunately, I do so my mower is a 3 point hitch version. I'm pretty sure that I'm in the minority on my preference. I think most people prefer the conveniences of 3PH mounted equipment.
One other consideration is weight. A 10 foot mower is heavy - probably 2,000 - 2,500 pounds depending on how well it's built. The 5075 or 5085 should have plenty of 3 point lifting capacity to handle that, but you may need some weight on the front end of the tractor. (You don't want to lift the mower and have the front end of the tractor get light or come off the ground, which can be very dangerous.) That can be accomplished either by leaving the front end loader and bucket on while you mow or, if you don't have a FEL or if you take the FEL off to mow, adding front suitcase weights.