I'd keep an open mind for a while first about what piano you may end up choosing. Probably the best advice I'd likely give, would be to just soak them each in, until you kind of fall in love with a certain something which reveals itself to you over that time (certain pianos just invoke a kind of artistic "Aah! that's the gear!".
Sometimes, you just load a piano/preset and it inspires something immediately. Definitely worth clicking through a selection of pianos for a while, taking your time searching for how they each make you feel as you improvize.
Probably any piano could be worked into a given live environment (basics like some EQ or compression to lift the dynamic floor higher up in a certain way might be useful in a noisy venue).
If your focus is 'listener experience', it could take you a long way if going with the Steinway B (ubiquitous in recordings etc.. which, to me, isn't making a cookie-cut choice or so much about kind of joining into a hive-mind pattern.. but just outputting a tonal range which listeners feel instantly "OK" with, good 'smoky' flair to it, very adjustable and like already mentioned it has a wealth of presets to get your creative direction nailed down quickly - and I really do love it even before thinking about the other aspects).
The Steinway D also being really well known is in similar scope - but IDK the B probably wins, just imho, for a live Jazz club, maybe.. unless you know you want to hit its specific vibe. All could be good though. I guess most of this is said as it is because you maybe havn't yet set a specific opinion.. but mixing some of column A with column B (what you love to hear + what listeners feel is cool) can't hurt - but in the end, that is going to be up to you
Agree with so much of the above really good commentary and advice - and I do think the Bluthner still has a lot of charm.. but wow, so difficult to choose one alone.. the Mistral to me is probably currently a top of the line choice too.. just very rich, responsive, acoustically interesting yet controlled, can be stately and loosened up with some extra unison width etc. in a vivid way.. but IDK, for sure maybe the Grotrian would suit too? That has some nice bass and interesting top end tones.. For whatever the level of hype/drama in the set, there's sure to be a piano which might peak through - but time spent kind of trying them out would hopefully be the kicker. Working out how you'd like to enhance your choice with some tweaks could be pretty fun - but defaults are so good you might just use one of those instead of becoming overly zoomed in on tweaking things.
Whichever you choose - hope it goes great for you!
Pianoteq Studio Bundle (Pro plus all instruments) - Kawai MP11 digital piano - Yamaha HS8 monitors