The last two cities I've lived in, the local paper published health-inspection results. There are at least two cases where a place I've eaten (one on many occasions, the other just once, but within a day or two of the inspection) came out pretty poorly; I certainly never noticed any problem in the food or my reaction to it, and neither did any of my dining companions. Conversely, I've had a couple pretty bad reactions from places that inspected just fine.

If you've eaten at the place more than once (sounds like you have), have noticed no ill effects, and say that the kitchen "doesn't seem dirty per se," just "crowded," I would stop worrying and enjoy the food.