They are made to be used by muggles
Actually, by default wands are not made for everyone to use. There is a specific wand creation command toggle for that. I am unsure what the difference is though. Haven't toyed with it but I think there is room for defining the place and use of wands better.
As for the general commands for magic use, perhaps guild teachers could have something to say about that? Could be nice.
And I have to agree that some often commands are rather...hard to use compared to others. Even harder to explain to someone who has very little experience with GEAS. I guess this is due to avoiding creation of too many new commands for magic. Some of the commands work well enough, meaning you can accidentally trigger the effect just by with fooling around but the couple of ones that require very exact form in order to function kinda escape me. I can live with it though.
Anyhoo, I guess the point in general is that while I can agree that not all commands should be automatically known by players but that the thematic grounds by which characters know or do not know about magic and its use should not be based on players knowing the syntax or not. Or something like that
And magic is still in its beta phase, I can be wrong here though.