Reimagining the type chart.

Have you ever felt, that pokemon types can represent drastically different things, yet they stand on the same level with each other? Elements (fire, water), creature species (flying(bird), bug, normal, ghost, dragon) or even what is your activivity? (dark=evil, fighting).

I was thinking about my own creature collecting game and came up with this double chart: elemental + biological. They are isolated from each other, so there's no bug/fire interaction.

What do you think about it, how would you assign strengths/weaknesses and what would you add or remove, if you were making this type of chart?