Tetris Worlds, Tetris Deluxe, Tetris DS, and Tetris The Grand Master Ace are based on the Tetris Guideline, including SRS. They have the following behavior:

Rotated left

Soft dropped

Rotated right

But the wall kicks are not symmetric, as TW, TDLX, TDS, and TGMA prefer to kick up rather than down when rotating left:

Rotated right

Soft dropped

Rotated left

However, an extra block impedes the choice of the upward kick position:

Rotated right

Soft dropped

Rotated left