This is exactly why I'm thinking about picking up a NUX Mighty Plug Pro -- amp in my pocket.
Not an Axe of course, but something I hear isn't bad, that I could have already set up for some familiar tones, enough to try out guitars. Haven't actually got one so no comment on how that works out in reality.
I'm not convinced it matters that much to me, honestly.
Every guitar shop that has a guitar I want to play has had at least one amp I think is decent. Not always the same...not always anything I'm even interested in setting up in my fractal. I can generally figure out whether I like a guitar or not by playing it unplugged. Plugging it in...is largely about figuring out whether I'm going to need to rewire it, making sure it actually works if it's used, maybe some indication on whether I hate the pickups, etc..
I'm not sure I remember what I played my LP through when I bought it. I'm pretty sure I played my 594 through a big box Friedman, and I had the sales guy set it up for me because it was too many knobs and switches for me to bother learning. My strat was probably through a Mesa Fillmore, IIRC. I wouldn't buy any of them.
Don't get me wrong, I've got a short list...but it's pretty much just an Imperial mk2 because I know I can get a filthy sound I like at a volume that won't piss people off.