I should also say, you're right that avoiding LLM phrase is bad. But thing about such phrases is that they something like glue in someone's writing to connect what might otherwise seem like a sequence of statements. But LLMs tend to both overuse them, misuse them and do that because there isn't much logic to their underlying statements.
I'd put it as, the very best writing can just use a lot of simple, declarative sentences. Decent, not extraordinary writing may need a few such constructs to take the reader in the direction the author intend. And you can use these constructs in a sort-of "poetic" way if you want to land in the land of conceptionality or something.
But the key thing is that with AIs, their output is subtly wrong everywhere, in a way that most human action doesn't follow (usually coherent syntax implies coherent semantics but not so much with AI). And so there really isn't good glue-phrase to use keep those semi-thoughts together.