Not quite. I said that was the main difference, but if we go into details, the physics of the thing, it’s a bit more complicated. The guy who invented the aeropress, afaik, tried to make a handmade espresso replacement. He didn’t succeed, but the way the aeropress works is a hybrid of immersion, percolation and pressure brewer, whereas the french press is all about immersion and that it’s. It has the plunger, but that’s for filtering, nothing else.
If anything, I think the aeropress is closer to a moka pot than anything. But it’s its own thing, honestly.