Is there such a thing as a more powerful toilet, or am I stuck?

You're not dreaming, toilets genuinely vary a lot in clog resistance. The main thing to look at is the trapway size. Older and cheaper toilets often have a trapway around 2 inches, while better ones go up to 2-3/8 or wider, and the internal path matters too. A smooth, fully glazed trapway with fewer tight turns will pass a big load way easier than a cheap one with ridges inside the porcelain where stuff catches. That 'powerful flush' printing on the box tells you nothing. What you want to check is the MaP score if the manufacturer publishes one, it's a third-party test of how much solid waste a toilet clears in one flush, and the good ones score 1000 grams versus 300-400 for a mediocre unit.

This is interesting because I had a similar problem in my guest bathroom and it turned out the water in the tank was filling up too low, so every flush was weak. There's a little float thing inside the tank and I bent the arm a bit so more water fills in, and suddenly it flushed way better. Took me forever to figure out it wasn't the toilet itself just being bad. So maybe check that before buying anything new. Where do you even find that score number the other person mentioned, is it printed on the box or do you have to look it up online?

I put a pressure-assisted toilet in a rental I maintain about five years back, after the tenants were clogging it monthly. Haven't had a single callback since. They flush loud, like a commercial restroom loud, but that blast of air and water pushes material thru that a gravity unit would just roll over. If your son's bathroom shares a wall with a bedroom, maybe skip it, but a teenage kid's own bathroom? Perfect fit. Worth checking that the drain line itself is clear too, years of partial clogs leave buildup that narrows the pipe even with a good toilet.

One thing I'd add is that paper matters as much as the toilet. My nephew went through a phase of wrapping the whole roll around his hand before sitting down, and no toilet on earth survives that. A quiet conversation about using less per flush, or splitting big jobs into two flushes, might cut your clogs in half regardless of what bowl you buy. Also worth knowing the old 3.5 and 5 gallon toilets from decades ago rarely clog even though they'd score terribly on modern tests, so a 'weak' rating doesn't always mean trouble if volume is the real problem.

Look, before you start dropping cash on a high-spec bowl, make sure your whole stack can handle it. Sometimes the porcelain is fine, but the line coming out of it is the choke point. Back in my day, we ran smaller diameter pipes in certain older sections, and nothing clears properly if the exit line is too restrictive. You might need a snaking job, not just a better toilet. Have you checked the venting system on that line? A poor vent can kill a flush no matter how powerful the bowl is.

Quick update — I ended up trying the thing about the water level in the tank. The fill was too low, wich made the flush kind of weak. I adjusted the float and increased the water amount, and it made a huge difference! Seems like a simple fix was all it took.