Pretty much this, yeah.
My gym has the "regular" leg press:
99% of the time, when someone says leg press, this is what they're talking about.
It also has the horizontal leg press:
Because you're sitting more upright, I feel there's a little less pressure on the back. Nice for a change of pace.
And there's what I call the high leg press:
It lends itself to a higher foot placement, which brings in more hams and glutes (probably like you were saying). Again, nice for a change of pace.
But if you only did one of them and neglected the others, I doubt you'd notice any serious difference. Because of different leverage and angles of force, don't expect the weight used to carryover between the machines (540 on one might be too heavy on another), but that's the only real factor.