I love my long arm quilter.. She does a great job on the quilts I send to her. Having her help do something I can't doesn't take away from the work or the love I've put into a project, it enhances it!
I have done the binding on some of her quilts because she doesn't have time nor does she like doing that part.. I do and do a better job than she would do.. That has never made it part "my quilt".
I feel the same about that as I do about making a wonderful fresh salad.. I don't grow the veggies.. nor do I harvest them.. I just go to the store and buy the ones I want.. prepare them and serve them.. I accept the compliments, it's my salad... I don't feel the least bit bad about not sharing the reconignition with the grower/harvester/packer/truck driver/ or the store.
Neither view is the right or wrong way.. It's just how each of us feels about our precious quilts!