If SMC_LID is 3.4v, and you resetting PRAM doesn't fix it, you have two choices.
1) Replace the mux on a board that will be back with a dead GPU in 1 month, when they will ask for warranty on your "failed logic board repair" that you can't provide. Make no money, deal with raging customer. 1 star review ensues.
2) Wire PP3V3_S0 to BKL_PWM. Tell the customer they need some software brightness control/contrast adjuster to deal with screen brightness. Tell them since it is not a full repair, it's on the house. Receive a refund-free tip, get a 5 star review for allowing the machine to last just long enough for them to buy a new one, deal with no warranty claims.
Greedy go for 1, I would go for 2.
I faced few times with this issue.
Don't tied to 3V directly; can affect GMUX.
Remove R9704 and inject 3V at C9704.
Next I did PRAM reset and resolder R9704; the problem gone.
This issue appears more on the machines with EFI password.
If SMC_LID is 3.4v, and you resetting PRAM doesn't fix it, you have two choices.
2) Wire PP3V3_S0 to BKL_PWM. Tell the customer they need some software brightness control/contrast adjuster to deal with screen brightness.