Blt jacks have their use, but not a fan for lifting the X, esp depending on floor service, height required, and stability.
I use floor/trolley jack, and if I have to get under it for any reason after jacking, I use quality jack stands. Even then, it is nervous Nellie...
Edit: In rereading your post, I suspect you are looking for a carry in the car jack. If so, the oe jack in the E53 is barely adequate, though the E70 jack may be 'better'. If you are looking for a jack for roadside tire R&R, I guess the E70 oe jack/wrench will work.
If you are looking for something less cumbersome in trunk, a good mini compressor, tire plugs, needle nose/reamer/inserter will get you down the road. I carry them in our Vette, as it has no spare.
Several threads on jacks, jacking, et al:
-https://xoutpost.com/bmw-sav-forums/x5-e70-forum/45205-jack-placement-2007-x5.html
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https://xoutpost.com/bmw-sav-forums/...rear-diff.html
I use the front metal 'bar' for lifting front, and I have always used the rear diff, with a slice of sturdy plywood and keeping lift point only on diff casing housing, not the rear diff itself. Never a problem
-https://xoutpost.com/bmw-sav-forums/x5-e53-forum/62102-jacking-x5.html
-https://xoutpost.com/bmw-sav-forums/x5-e53-forum/93007-what-kind-jack-do-you-use.html
Brand is up to you. I use an older Larin, a quality jack in its time and it also slips under my Vette.
Pick your poison, and it is all about what you want to do with a jack, and what you want to do when car is lifted.
GL, mD