I've used a bottle jack a little bit for felling a large spar 30' x 36" that would have been harder with just wedges and a rope, though I used those as well.
I got a cheap one from an auto parts store that's a 20 ton.
I cut part of the backcut, then bore into the tree three times, once below the back cut and twice vertically, to remove a "trivial pursuit pie piece". this is where I put the jack, fully compressed. then I cut the face. Then slip the bar back into the backcut from the side (closer to the hinge than the jack) and keep cutting while adding additional lift.
I'd thought about the steel plate on the top of the jack, though I think that as the tree tips, the plate will need to tip with the tree or risk sliding out. The bottle jack head compresses into the top of the backcut a little bit, locking it into place more. If for some reason you really need to jack it up a long way, it may slip as well. Better to move the hinge deeper and need less lift for a spar.
I've heard of using it to put a tree down against its lean using a similar technique. I'd suggest trying this first without targets as you may rip the hinge and lose control. Species dependant as some trees' properties will vary.