It is more "I feel like putting work into and spending time playing this game. Who wants to play in it? Alice, Bob are in, great!. Cheryl isn't? OK, let me know if you change your mind and I'll let you know when there are other options. I'll call Dave, Elizabeth and Fred to see if they're interested."
I don't get a stronger vote; I get to pick what I want to spend my time on and each and every player gets to pick what he wants to spend his time on. Hopefully, he wants to spend his time playing the same game I am going to run. If not, it is no biggie, we'll get together at other times for other things. If a player really wants to use a character I'm not willing to run in the current situation then I'm sure he can find a game where that character will fit swimmingly. Or he can run something and I'll look to see if I want to play in his campaign. It is not like I am uniquely qualified to operate the GM screen; there are other GMs. Don't like my campaign constraints? Free the player slot for someone who does.
This sums up my feelings exactly. We are all grown-ups responsible for how we choose to spend our time. I am going to offer a campaign that I will enjoy running. You don't like what I am offering and, therefore, don't want to play? No problem. Find another activity you would enjoy, find another table, or start up your own campaign. We will do something together on another day.