My two cents are maybe there's just, obviously, differing opinions on what people want from the game.
The other thing, as a fairly experienced DM and player, I know sometimes one or the other overlooks things.
Sometimes, I need someone to 'metagame', to actually try to use their skills. There are plenty of skill options that are vaguely helpful to one another - like the synergy bonuses - that I could see them as being a penalized-default, the way GURPS works it.
From the player end of things, I was in a Legend of the Five Rings game. I was a samurai on a warrior pilgrimage; I'd set down my name and heritage to go prove myself against the world. We were stationed in a tiny town, Mimura. Since there was an Akodo dojo there (one of the families of the Lion Clan), and I was an Akodo pre-pilgrimage, and since my task was to prove myself... I went in and made an open challenge. Got through a few contenders. Beat the snot out of this pretty samurai-ko in a very unsportsmanly way.
Fast forward a few months. A few npcs had joined the party, and I kept trying to put the moves on this Crane Clan samurai-ko. Over and over. Finally, on a smoke break, the guy running the game said, 'Don't you remember Unaki?' "Umm... should I?" "Yeah, she was the girl you choked out in the dojo."
Literally, three months of play time - so maybe 6 months in-game - and I'd never put two and two together.
Like I said, if you're sure you can remember when skills are appropriate to be used, I would institute a rule that only you can tell someone to roll a skill. AND APPLY IT TO EVERYONE. Don't let any of the other players chime in with 'Hey, I have Alchemy too, can I roll?'
Seems fair. And no, I'm trying to be helpful. I don't know if this will end well though.