TS-13 is a tricky paint. As said it's hot and can melt the base coat underneath. But the times I've used it has never given a matt finish, but it does polish out nicely. It is worth noting that the recommendation towards using TS-13 over TS sprays is either start to apply the clear coats within an hour of the last colour coat, or wait 30 days. I feel 30 days is all a little exccessive, so spray TS-13 after my last wet colour coat about 45 mins afterwards.
Normally wait about 7 days for TS-13 to harden then polish it out with Tamiya Compounds. Always buffs out nicely, but then so does Acrylic X22. Just takes twice as long to harden off, so I wait 14 days sometimes longer before I buff X22 out.
I think its all a case of use what you feel comfortable with. I don't feel comfortable with applying a hot laquer to decals, as it's a risk and it could destroy them so I use Acrylic, whereas if I haven't go any decals to worry about go with TS-13.
Brush painting X22 over decals has been done, one member on here applied X22 clear with a large flat brush over decals, and it looked airbrush as clear can sometimes dry nicely if brush painted, but I prefer the thinner coats of airbrushing. And I really wouldn't apply TS-13 over any arcylic paints, as this is just asking for problems.