I recently changed my stem and tightened up the headset in the normal way, but it ended up a little bit tighter than before. The wheel will still fall to one side under its own weight, jut a bit more slowly. I actually quite like the slightly stiffer steering, which seems to make the bike a bit less twitchy.

Is this a bad idea, and could I do any damage to bearings etc. by having the headset "firm" rather than "floppy"?

Thanks!