I don't think clients should be treated equally. I'm not saying a therapist should have favorites. Or the reverse, a therapist should be forced to work with a client that they can't help. But each client has different needs. Even two clients with the same symptoms/diagnoses have different needs especially at different stages.
L has told me a few times that if I didn't have the skills work I did with T, I wouldn't be a good fit to work with her. And T was all about short-term (normally 2 years) skills work; not long-term relational work like L.