Just a single data point counter to this:

I had a therapist with whom I had a good relationship and who I'd seen for a long time who suggested that I find another therapist because we weren't making progress. I was reluctant to do so and we continued for a few more months when once again they suggested I find another therapist for the same reason, at which point I did leave and sought out another therapist (who was completely unrelated to this one, so there was no referral or kickback).

If the therapist was motivated purely by self-interest they could have easily not have pushed me away, twice, and continued to have me as a loyal client. Instead they asked me to go see another therapist, for my own good.

So, yeah, some therapists actually care. You have to find the right one, of course.