I agree with Ellis. When one takes 8 seconds to do the cross we are not talking WR here. I don't think being color agnostic will make a difference at this point, except create more confusion. No disrespect to thatguy, obviously, but I have not found a video of Erik not using a white or yellow cross... Facts don't support our statement. Also if move count really mattered CFOP/Fridrich would not be so popular. Recognition is essential.
Back to the topic.
You really need to plan for your cross completion during inspection (which means looking ahead 6 to 8 moves) Train just on the cross. Scramble, plan the cross, do it your eyes closed. Again. And again.
This has been discussed many times on this forum by the way. You might want to use the search function.
Now, the way I improved is by decreasing the time between the cross and the first pair. I always start the first pair with the cube in a known position (yellow up, cross on white, red in front). Always, no exception. It might mean that the cross takes a few more moves to predict that position more easily (9 at the most). This allows me to focus my eyes on the first pair and anticipate its sequencing as I finish the cross. As I identify the pair, I already know where it goes. I hope this helps.