We can still group traders based in the tool the use in making prediction. Fundamental traders deal on news and technical traders deal on tools made available to spot market trends , peaks, direction and state.
You can not group traders in this way. A good trader must know how to do both technical and fundamental analyses. They are both important.
What you can group traders in are scalping, swinging, day trading. It goes as far to arbitraging and P2P. There may still be others.