Regarding playing a bit faster live..yes.. not sure of the exact reason but the way it was explained to me.. depending on the size of the venue and the size of the band eg with a brass section.. the sound projection can get a bit mushy by the time it gets to the back of the room. People obstacles, sound absorption, reflections etc.. better to be a bpm faster than a bpm slower which can sound draggy.
It could also have to with band energy. For example we play the live version of Bruno Mars 'Locked out of Heaven'. The studio version is 144 bpm. The live 'in Paris' version that we play is 150bpm
I don't think there's much merit in that acoustics idea.
I think it is more just a matter of context - creating a record is the all-purpose starting point tempo-wise. Depending on the song and arrangement it may need to be exciting, but not frantic... or chill, but not too chill - with the idea of how the song works all by itself.
Now put that song in a concert setting - and there's now nothing all-purpose or generic in its function - it is now the song that comes after this three songs and before what follows. In that "context", how does the tempo feel? Too fast? Too Slow? In that setting, choosing the tempo that works - for that specific setting - is all that matters. Nobody during the concert - on or off the stage - is sitting there with a BPM counting app and a list of the original recorded tempo giving the concert a grade for its accuracy - as accuracy is absolutely not the point.
In its slot in the show - does the song invoke the feeling you want? The feeling that people in the audience will remember it having.
This is similar to the way club DJ's work - modern DJing is all about mix and matching songs and their tempos - to create long fluid extended dance sets (that don't change tempo with each new song) - so keeping the dance floor packed with tempos far altered from the original is the norm.
Now wedding DJ's do some of that - while also a great deal of the time, functioning exactly like a jukebox - with annoying announcements.
For the life of me, I can't fathom why so many modern cover bands playing clubs and weddings are so obsessed with slavishly adhering to original recorded tempos. To the point of choosing to play the "correct: tempo rather than whatever tempo feels best for their band.... or for the context of the performance.
Choosing to never just "feel it" - as opposed to always defaulting to "Nope, gotta check the list - and do it exactly as we did it last weekend - and chastise ourself if we deviate from that rigid, inflexible discipline at all". It makes me wonder, why even bother with a band? Why bother paying for the possibility of a unique and "in the moment" performance, if cookie-cutter, just like the record, down to the exact BPM performance is all I'm going to get? Can't I just hire a DJ? And for less money? And with live bands demanding an ever smaller piece of the entertainment pie - I wonder how many potential clients have pondered the same question?
I get this won't be a popular sentiment these days - but I think with so many advancement in the arts, where "correct" is easy to attain them ever before.... correct tempo, correct pitch, correct color balance, perfectly sharp pictures, and on and on, we are starting to face the question more and more often - is "correct" really the point?