Yes, the tweeters are weak. There are many factors - they are old and a touch corroded, still in factory location, no stands and no tilt, room acoustics (they sit on deep pile carpet), etc. Basically the worse possible scenario. That being said, with the EQ they sound nice, so I can use that as a "crutch" until I have time to experiment.
I have decided against an external tweeter, etc as they will just get damaged. I'll experiment with stands, and the like. Again, worse case I use the EQ - nothing wrong with that.