When you fully understand the therapeutic relationship, there are no "strings" just the relationship as it is.
Good Ts do really, really care about you!

If they could take you into their lives, they would.
If they could constantly talk with you, they would.
If they could always be thinking about you and what you need, they would.

But...they are human. Alas! And they must do, they model, what we also must do:
good self care. If a T doesn't hold the parameters of a good therapeutic relationship
then that T won't be there for you, or anyone.

They model good behavior, proper coping, excellent rebounding for good... etc at least, I hope so!