I followed your guide step by step and got beautiful RGB from my NTSC TI-99/4A!!!
I replaced the TMS9918A chip with a TMS9928A from eBay (A socketed IC--what a breeze!). I soldered on the TMS-RGB, and added the 560 ohm resistors on the lines where indicated.
Where I marked here, there was a resistor (22 ohm?) already populated on the board, with its left leg going into the left throughhole (orientation matching the image). I removed it and replaced it with 560 ohms, with the left leg going through the throughhole to the right of it this time, to match the picture. I should note--it was picky--it truly had to be 560 ohms. I had tried with a higher resistance at first (I didn't have a 560), and the monitor could not find sync. My fix was to replace it with two resistors in series to sum to 560 ohms, and now it works like a charm.
Since I'm not using the stock DIN connector, if I've read the other posts right, I'm safe to ignore the red and blue lines.