My loved one was shocked when it was not just taking over the bill but setting it up to be in his name etc. When he expressed interest about this (with similar wording) I allowed him to choose what he wanted to take over after giving him "choices" I was comfortable with and I said he was free to once he got all the records etc changed.....then he could let me know.
I did this with chores (finally) too. I don't know if it helped him, but it was a few less things for me to worry about.