I think, too, that you are getting hung up on wording. Here in MN it is rare for one parent to have full legal custody...
It normally goes joint legal custody with one parent (usually) getting physical custody, althought he trend has been toward joint physical as well
for example...my ex-husband, although he has not had contact at all with my boys in 10+ years has joint legal custody but I have full physical. He was awarded visitation, which he clearly has never used
Cori has joint legal custody with his nutjob but full physical custody...that doesn't mean that his daughter doesn't get to see her mom...just means her HOME is here
I am with Ian...your GAL needs to step it up and you can always request another one as sort of a double duty kind of thing.
don't get hung up on verbage but go for what matters...time with your kids