Yes he does I suppose but (if you don't mind me being a bit blunt - not meant in horrible way at all ) isn't it a bit naieve to expect any other response? Yours is not a personal relationship although it is a close one.
And it IS true what he is saying - it's not as though he is doing you a personal favour - he is operating with personal detachment. He has to, to do his job properly.
And in a sense, you have to accept that help fully in order to make his job easier. If you are proud and "try not to be a burden" the process will probably take longer ...which is no good for either of you. Yes, you have to take responsibility for doing everything to try and get yourself better, but you can rely on him for help - more at the beginning - less so at the end.
I guess any health professional, being human, will have patients they find easy to treat, patients they have no particular feelings towards, and patients they find difficult. Your or I or anyone else will probably have little or no idea where they fall in that spectrum. And in a way it's irrelevant as long as the treatment is going somewhere.
Also, I suspect that shrinks are trained not to perceive or categorise people in that way as they are more focused on treating your symptoms and illness than their personal feelings towards you. They are genuinely interested in helping you to feel better or else I suspect they wouldn't be practicing - it's a tough line of work to be in after all!!
Don't worry though - I think it's entirely normal that you are pushing him for answers about how he perceives you - simply because, owing to your illness, you have lost a strong sense of who you are and so you are trying to pick up hints from others around you including your psychiatrist - and that is why you are so sensitive to the opinion of others at the moment.
He will have seen it all before and try and help you elicit that self-knowledge from within yourself (if that makes sense). It's there - you know it really - it's just hidden at the moment because of demands placed upon you, or because of circumstances, you are living in a way that challenges that sense of self.
Sorry for essay!! Does any of that makes sense?