I have the "regular" Thunder 380, and I did not find it to be "ammo-sensitive" at all. I could not make that thing malfunction, even with mixed-mag loads of various bullet types, and ammo decades apart in age. I was very impressed when I got the gun (in 2008), and still own it today. Great carry piece, but plays second to my Kel-Tec PF9 because the latter, though being less pleasant to shoot, is more easily carried.
As far as being a "range gun", though, the .380ACP round isn't the most affordable range-round out there. It will help if you get into reloading, if you're not already.
You won't go wrong with the gun.