FWIW. I used a relatively inexpensive Campbell Causfeld HVLP turbine sprayer with Polytone paint and got what I consider good results. Reasonable gloss for Polytone. Here were some of my considerations.
Turbines add heat. But my compressor would not have kept up with an HVLP gun.
Heat speeds drying.
Fast drying decreases gloss.
I kept Polyspray and final color coats of Polytone in the refrigerator before spraying so they would be cooler and hopefully dry slower despite the turbine. I also kept the shop air conditioned cool. I think it worked.
I have found my best spray results with
1 very light "tack" coat. Avoid the temptation to fill in the color!
After sufficient tack time a second "color" coat.
And then a third and final "gloss" coat.
YMMV