A roguelite is ostensibly something that has enough features of a roguelike to be noted, but not enough to be considered one. And I’d argue there is way more to what makes a roguelike than permadeath with no meta progression.
Also Slay the Spire has less meta progression than Issac. Hades is in a whole nother ball park.
I think the Berlin Interpretation is quite outdated and was not even good at the time, but I will defend it on this one point. It does not provide a threshold for what is and is not a roguelike, the Berlin Interpretation just lists criteria that are important to consider when determining how roguelike something is. The heap paradox is an exercise for the reader.