I agree with this assessment - you CAN use your actual tire but you’ll add significant wear to it pretty quickly and trainer tires are designed for the purpose. There are a number of brands who make trainer tires (I think the last one I had good results with was Continental which came in a sort of ugly-ish brownish orange/yellow tread color). The downside is you’ll have to swap tires back and forth since riding outdoors on a trainer tire isn’t recommended. Since I live in Minnesota where it shows half the year it’s not too bad for me. Good luck!
I’ve always been training on rollers with old/used tires and the only downside i’ve found is that i use them till they fall apart. So it happens that while you’re training you gotta go change a tyre but hey…talking about recycling or waste solutions. This is the best way to completely use your tires. The ones that are too worn for outside, at least i can get quite some hours roller training out of them indoors…and it’s free!
I’ve never had that problem of overheating, slipping, etc. Yes, just control the tires that they’re clean. You might get a puncture! No kidding. With a pressure wheel on the tyre you could pinch it if there’re already some stones or debris in it.