Be careful; you're stepping into a holy war. There are some who stick to "the Berlin Interpretation", where there are far more criteria to what makes a roguelike, and from my perspective, it makes those games so close to Rogue that it's not worth giving it its own genre, plus this classification came out just before Spelunky ruined it. Colloquially, you're typically right though. Most will call a game roguelite if your progress gives you upgrades that make the next runs easier, whereas a roguelike may still have unlocks that add more variety or "sidegrades" that are neither better nor worse.