I've used Bigsby terms in the B7 / B5 style...and various custom "inspired bys" for decades. Almost all my guitars get one (bar the Floyd equipped and Strat guitars)...I've put one on my '58 RI LP, every SG I own, Teles, semis etc...so I've learned a thing or two over the years, and I say give one a go. You might like it. I give mine a lot of abuse at gigs! As mentioned, you won't be dive-bombing, but you can do some cool shimmer stuff. Plus if you go nuts and really wrench it about at high speed you can get some good drama...you'd definitelt need to check your tuning after that! However they're generally really stable otherwise if you get them up and keep them lubed and clean.
Don't worry yourself too much about the odd gap etc, but do make sure you fit them firmly and securely at the screw points, and as flush as the guitar and design allow. On an LP there's a gap anyway under the middle part of the B7. I always use a roller bridge myself...nothing fancy, as I've personally found results and tone wise that the lower profile cheapo ones sound better for this application. I think they help keep the tone from thinning out, and on my SGs they help with the shallower neck angle. Oil all movement points...on the Bigsby and roller bridge. Put some graphite in your nut slots, and don't make a birds nest on your tuning posts with the string. Pre curl your strings round a Sharpie or something before trying to hook them on the Bigsby when installing...and you should be good to go.
Should be stable enough when playing and not using the term...if you give the trem a lot of welly, you should find that a gentle two way waggle, and quick bend of all your strings, and it'll be close enough to pitch again. But don't expect never to have to tweak your tuning between songs when you've been having a waggle!
Last thing from me...the versions that Guitar Fetish do are pretty ace. That's what I installed on my Les and one of my SGs. Take a peek here:
https://www.guitarfetish.com/Xtrem-Vintage-Vibrato-System_c_373.html