Except Intuition is used for Judging Intentions, which is a pretty important thing for a Face to do.
Except that it's one of those things that depends on the table. Apparently at both of your tables it's become super important. The tables I've played at since the start of third edition? Not so much. I can count on one hand the times I've actually had to use it as a Face. It's not
that important in my experience.
*I'll edit this in, instead of making another post:*
In the opinion of you both, judging intentions is important. Fair enough, I don't play at your table, so I don't know why your GM is having you roll it so much. However judge intentions is an attribute check, not a skill; if it was a skill, then yeah, I would consider it something a Face needed to put some skill points in, but it's not a skill. Given that at your tables it's important to use judge intentions, I have to ask: Just what the hell is the rest of your party doing leaving these checks solely on the shoulders of the Face? Depending on tradition of course, your Mage should have a fairly high Int attribute, as should your Decker. Why aren't they judging intentions? Even your combat types should have a few points in Int; why aren't they rolling as well.
Is your GM making
only your Face roll? Outside of situations where the Face would be talking to the NPC by themselves (which
shouldn't happen, but sometimes can), everyone present should have an opportunity to roll. It seems kind of silly to me that the Face should be expected to pump up his Int, but no one else on the team can be bothered to do so? Including those archetypes that actually use it for their core skills?

Again, why is a Troll having an Int of 3 (which is either nearly max or above average, depending on the subspecies) somehow bad? The "judge intentions and perception are important" lines aren't really answering that.