Equally? Not really. I'd expect them (T) to be fair & to express a certain degree of consistency in terms of their relationship with me. It is hard to generalise because each protagonist brings different, highly individualised, characteristics to the table but a lot is also a matter of (subjective) perception.

However, seeing how your T has been behaving with you... would you really like them to hug you etc.? I would find this inconsistency more confusing tbh. If this relationship is not beneficial to you, you'd be better off with someone else who doesn't make you feel bad and who is, foremost, on your side.