In terms of recording, then a live recording "ie mics in a room" is arse. Sounds crap,full stop. I don`t need canned laughter, or cheering to tell me the music works, I just wanna hear the music.
As for the whole, how live is a live PA debate. I think this argument is irrelevant these days. Face it, your live PA, as much gear as you take out, is still programmed to a point, you only have 2 pairs of hands, therefore there will allways be automation present.
Who gives a crap, You could be on a laptop (which admittedly looks poo) or with 6 full moog modular units and an old 909, or a couple of denons and all your own tracks on cd, and most people wouldn`t give a damn, it`s what comes out of the speakers that counts. If it`s your music, it`s your music.

Personally, I am just really interested in hearing your music mate, genuinely. I`m not dissing ya, I just thought that audio you posted didn`t represent, and I`d like to hear your tunes and not some bunch of cheering clubbers. I know what a cheering crowd sounds like, but not what your tunes sound like.

So please post some stuff, cos I ain`t gonna get to hear ya otherwise.

Now from a professional point of view. If you wanna get international bookings with your live PA, it needs to be as portable as possible. Otherwise the cost to book you due to transport fee`s and logistics (no room for you stuff in club X or whatever) will be unjustifiable.
Also, baggage handlers are notorious for damaging shit, and also nicking shit. you start touring with that amount of kit, and it`s gonna get damaged at some point, and maybe even go missing.

I`ve managed to get my live PA down to hand luggage size, and it still sounds good, and has enough freedom in it`s structure to keep myself busy.

as an asside, I`ve just released a live PA album, and if I had of had crowd cheers on it, my distributer probably would have said I was just massaging my ego, and told me to clean it up.