Anyways trying to define what qualifies what a "rougelike" is has started countless semantic slapfights (which is why I tried to use the cop-out word rougelite). Please consult a rougelike alignment chart to know where you stand in the great holy war over the definition of the word "rougelike" [1]. Nowadays most gamers think of indie games like dead cells, hades, enter the dungeon, darkest dungeon, crypt of the necrodancer, and ftl when they think "rougelike" and those games are all tagged with "rougelike" on steam and twitch.
Traditional Roguelike for full-on Berlin Interpretation Roguelikes, like Nethack and Dungeon Crawl Stone Soup.
Roguelite for Slay the Spire, FTL, and similar. Much easier to say than Roguelikelikes or Games with Roguelike Elements.
And the word Roguelike? The battle was lost a long time ago, and most people will understand it to encompass both categories above. (Even though I personally have a tough time taking it to include the three great games in the mechanics radical column of the chart).
Usually any game that has procedural elements & permadeath now becomes labelled "roguelike" or "roguelite" by the community, depending.
I'm still a snob about it, to me roguelikes are nethack, ADOM, even newer games like Cogmind and Caves of Qud are roguelikes, but to me, FTL is not.
to each their own but like, it's _pretty_ close!