@Josh_TN I would be surprised if F/A-XX used anything besides an F110-129 or one of its growth steps, given the higher growth margins for cooling/power generation compared to the F-414 and the rumors that the initial F-47 will use an F110 derivative.
The Navy already rejected the F-414 EPE for Superhornet Block III due to its decreased TBO and seemed happy with the F110s in the F-14D.
OOTH, the Navy seems quite unhappy with the higher expense, shorter TBO, and poor parts availability for the F-135, not to mention that 2 F-135s would probably be way overkill for anything smaller than an F-111.
@quellish's point about the logistics chain is certainly valid but I think that could be alleviated by having a "high-low" mix of carriers with F/A-XX and F-35C respectively so that the carriers only need to be resupplied with F-110 and F-414 OR F-135 and F-414, instead of all 3 together.
That was kinda my point - two F414 or one F135 seems like too little; two F135 seems like two much.