I tend to mince rather than press, mostly for the reasons others have stated above.
One other factor is that I've never found a garlic press that I really liked: I have had a Zyliss for a few years, but I'm just not impressed. I don't find it exceptionally easy to handle, and it's a pain in the neck to clean. I'm thinking of trying an Oxo, since I really love their products.
Instead of the press, I will sometimes use the garlic-paste-in-a-tube when I need a small amount of garlic, or if it's for a marinade, etc. (I also LOVE to rub that stuff all over a chicken, and under the skin, before I roast it! Yum!)
"We reject as false the choice between our safety and our ideals. Our founding fathers, faced with perils we can scarcely imagine, drafted a charter to assure the rule of law and the rights of man, a charter expanded by the blood of generations. Those ideals still light the world, and we will not give them up for expedience's sake."
--President Barack Obama, 1/20/09