I agree on watching sports, I'd much sooner do them, if admittedly not as well. I suppose the difference is that I don't hero worship actors, merely appreciate the product they help create. In fact I'd be hard pressed to think of ANYONE to whom I would pay that level of deference, be it celebrities, politicians, royalty.
I have (sort of) met the Queen of England. I was part of the medical detail for a visit to Liverpool. The only time I spoke to her or her entourage was to say excuse me whilst (politely) pushing past on the way to an emergency, which is exactly the way I would have treated any member of the public.
I was informed later that security were bewildered, but the lady who had collapsed 20 feet away seemed more important at that point. Had I not been in uniform with a clear reason for acting the way I did, they might have been less forgiving. Crucially to the point though, I have no strong feelings about the royal family, but nor do I see them as more important than any other human being.
I've been part of ambulance crews at quite a few public events, with all areas access. I've even treated a few celebrities, not one of whom I acted any differently towards than I would a nameless member of the public. Had they expected otherwise and took offence they would have got the same treatment any other rude person would get. That is, be told to behave themselves or leave my bus.