Are "Real/True" and "Fake/False" Isekais a thing or is this just how some fans praise/critique some animes?

So I haven't watched a lot of isekai animes yet -or at least not all of the mainstream ones, but when looking for recommendations online, I would find some people talking about how some isekais aren't "really isekais" and some would describe it as the following:

• The MC just becomes a regular fantasy protagonist, if not in looks then in personality
• Lack of OP BS powers/skills/cheats
• The MC doesn't think like someone from our world, they don't bring ideas, technology, lessons, products, or concepts from the modern world
• Lack of harem/reverse-harem
• "It's just fantasy/sword-and-sorcery with extra steps for the MC backstory/context"

Most of these don't sound like actual criticisms of the authenticity of a story and more like just people being used to the stereotypes and "checkbox" aspect of the genre. Aside from MAYBE the 5th and 3rd point, idk.

I say this as someone who is more familiar with stories that are less "gimmicky/video-game-like" like The Owl House, Amphibia, Coraline, Alice in Wonderland, Narnia, Harry Potter, and The Wizard of Oz... and they don't need the 2nd or 4th bullet point to count as a Isekai/Portal Fantasy, they're just regular people with regular hair colors and looks instead of nonhuman characters or genderbend or ones with anime hair colors. Harry Potter and Narnia has that chosen one aspect but they don't use it like an OP BS cheat.

But I come across titles like "Faraway Paladin" or "Chillin' in Another World with Level 2 Super Cheat Powers" while looking for wholesome recommendations and there's a few of comments being like "why is this isekai? This isn't doing isekai like Mushoku Tensei or [insert other title]"

And I'm just like "... Huh? I don't know Mushoku Tensei yet but this sounds weird."