Does it grate on you when some government extremist utters the silly phrase "our president"? It annoys me a bit. It's the same when they say "our government", "our congress", "our schools", or any similar thing.
It bothers me because I don't have one. I can't have one. I don't want one or need one. Don't superimpose your weakness onto me. It doesn't fit.
It doesn't matter who the current president is or isn't. I will never have a president for the exact same reason I will never have a Grand Wizard or a Pope. I am not a participant in that particular religion or club. That you have one is your problem, not mine. It's your responsibility. If you try to act as though your social club offices and rituals apply to me, you are being rude and presumptuous. Or worse.
Yes, I realize the Believers will say I have a president whether or not I acknowledge one. In that case, they have a pope and a Grand Wizard whether they accept him or not. If I'm in any way responsible for a president, then they are responsible for the office holders in the clubs they reject as well.
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Reminder: I could really use some help.