Giving a card with your name on it to tables when you greet them?

I really hope that none of my coworkers/managers are on here because I feel like this would be a dead giveaway since I've never seen this happen before.

They gave us all business cards that says something like 'your server is...' and then we write our name in, and they expect us to give them to all of our tables when we first greet them.

This place is definitely not fine dining but the atmosphere is better than casual. I usually don't give my name unless people ask (most folks don't seem to care either way) and I feel like this move is so cheesy. I give great service, I'm very personable with those who want me to be, but I just know that most of those cards will end up in the trash. Obviously I'm going to do it but I feel like it's even worse than wearing a name tag (which we don't.)

Thoughts?