I'm a fan of knowledge-sharing, so here's my first-hand account of taking my JKU w/ Bestop Trektop NX through a brushless, touchless wash a few minutes ago:
This particular wash had three options. I chose the least expensive, as it deletes the blower/dryer phase at the end, which I definitely didn't want to mess with. The option I chose included a low-pressure foam pre-wash, a high-pressure wash pass, and finally a low-pressure rinse.
The verdict: Not too bad. No penetration on either of the low-pressure cycles. I did get penetration during the high-pressure pass at the zippered seams on the sides of the back window. When I was done, I pulled into a space outside and opened the tailgate to investigate. I had droplets at the bottom of the rollbars, some on the top of the subwoofer-box, but none in the rear center down by the jack/bolt storage area. I was able to dab up all the droplets with four napkins I had in the glove box. I was actually pleasantly surprised by the small amount of penetration. I must admit that my butt cheeks clenched up a bit during the cycle, seeing the water come through. Bottom line, I doubt I'll be doing it again, but it wasn't a disaster by any means. Just figured I'd take one for the team and report back.