I use both but mainly compressor and airbrush, yes....and I love it for most tans.
I don't really suffer any overspray if I use the correct working pressure (they range from about 10psi up to about 18 dependant on the viscosity of the solution), or find that it increases my time too much at all (certainly not with my current airbrush anyway), and I find it so much easier for contouring, shading etc than HVLP, but I just found Naturasun one of the solutions that didn't work that well, certainly with mine as the lower pick-up on my airbrush matches the better working pressure for the solution. That, and the fact that I had a whole litre of D&E, go 'off' on me, despite being stored correctly caused me to discontinue using Naturasun!
There will be solutions better matched to HVLP and some to compressor, I'm sure. My current main supplier definitely recommends use of compressor and airbrush and it delivers a beautiful tan this way. I also love the fact I can bang my compressor on practically all day if I wish, do continuous tanning and never worry about overheating....I've actually seen HVLP machines go pop in the past from this, so was a concern for me.
I'm starting to consider the use of a mini-mist for mobile work, as I do get quite a few bookings for tanning parties now, purely out of convenience for carrying it more than anything else, but I can see big advantages of both. And yet to be convinced to spend the cash, when there's so much else I want to buy!
But each to their own, I guess!