Sure. The issues I have with the Woods frame mount for the Kubota B and L series tractors are:
1) It makes the BH/frame assembly too big when removed from the tractor. The BH is probably 4'-5' long when removed and the frame adds another 4'-5' of length. This makes storage a real nusance if you are tight on space.
2) To attach the frame you need to remove the 3PH draw bars, lift links. It's not a huge deal, but it's more work.
3) The woods subframe is not compatible with a mid mount mower dues to a bracket that gets bolted to the tractor's underside. This one didn't matter to me since I don't have a MMM.
4) The Woods frame causes the BH to hang further out the back of the tractor. This moves the weight center further back than necessary and lightens up the front of the tractor more than necessary. A 2710/2910 will be light in the front end with a hoe and this makes it worse. The overhang also makes getting on and off a trailer problematic without dragging the BH on the ground.
5) The Woods frame hangs down under the tractor and noticably reduces ground clearance.
In favor of the woods is a good solid mounting of the BH to the tractor with little to no slop or play between the two. The 3PH BH tends to wiggle around
The Kubota 3PH backhoes mount tighter to the rear of the tractor for a more forward center of gravity and better approach angle for trailer loading/unloading. There is no stuff hanging under the tractor to reduce ground clearance, and it's compatible with a MMM.
I found mounting the 3PH BH easier than the woods, but I also had the advantage of practice with the 3PH so it's not a fair comparison. Once you have practice they are probably about the same, but keep in mind that you have to take the 3PH apart first for the woods.
I haven't used a Bradco but have looked at them and there are some good pictures on this site. The frame gets permanently bolted to the tractor and from what I gather does not interfere with anything. The BH mounts to the frame and is a nice tight fit close to the rear of the tractor. The frame doesn't hang down under the tractor either and I'm told the 3PH doesn't need to be disassembled to mount the hoe. Assuming this is all true, and I have every reason to believe it is true, then the Bradco has none of the problems that the Woods does, yet provides a solid, no slop mount. Sounds great to me, except they don't make a frame kit for the B series. Oh well.
As for damage to your tractor, I trust Kubota's engineering. If they say they support using a 3PH BH provided the tractor is equipped a certain way, then I believe it. It's unfortunate that extra brackets etc are required because it adds to the confusion on this topic. In my opinion this is a classic marketing blunder. When a customer asks a simple question like "can I use a 3PH BH on your tractor's 3PH?", the answer should be simply "Yes!", not a long drawn out explanation about adding the this and adding the that. If they just included the heavy duty top link bracket on all tractors this would be much simpler, at least for the B and L series.
Hope this helps. You can also search for backhoes and read all the past debates on this topic.
Also, there are many people on TBN who have the woods frame mounted hoes who love them, so don't dismiss them outright. They are very good hoes. Just be aware of the tradeoffs when choosing what's best for you.