I think because it was compressed in one post, it looked like you were pushing to help. I suspect the offer to help with the appointment and the offer to help do anything else was spread out over the day.
Any offer to help IS ok, just make one offer and leave it. I think he spoke to that quite well. Do what ever you need to do. ie. If it's something that you know is common in the business for you or him to do, just do it. Such as if at the end of the day the stock gets moved to specific locations and you CAN and he's busy...
idk. i hope that makes sense. That you don't have to ASK him for permission to do the work that needs to get done on a daily basis. The "routine" stuff. Then again, don't go out doing "his" tasks. just like he probably shouldn't be doing the books if that is specifically YOUR tasks.