Depends, your nozzle reflection won't be detected from the front, that's not a big concern also they won't receive their shiny F-35s before 2029-2030 because of the production queue
Well, we probably can secure some amounts of F110s for the first batch, let's hope that engine development can be finished until 2033 and be integrated to Block 2, 2033 is a good time actually
There are + and - sides of this.
+Good thrust if they use good materials for the core, can get 33-35k lbf
+Benefits IR Stealth
+Lower fuel consumption
-Slow acceleration (I don't know if this can be fixed with modifications)
-Bad high altitude performance (55-65k feet) (not much needed, so...