I think Jacob's way forward is a bit trickier that Woakes right now. Woakes I think will need over six more likely nine months to recuperate from his injury then I think will do one more season under a Warwicks contact. Relatively straightforward.
Bethell has a decision to make (or England have to make it for him). If he hadn't have played this test, which I think was the plan, he would have gone into the 100 and used that to gain some fluency for England white ball games in September, which then clears him to be part of the Ashes test squad but more likely play white ball games on that tour with the odd red ball warm up. Simple. Now he's got to establish, having now been exposed for this one game, whether he is going to commit fully to being an England test player and as Broad and Vaughan has opined, he's got to do some work to do that. And that work needs to be domestically.
It's a bit like Schroedinger's cat. He's a fine test player so long as he doesn't actually play any test cricket.
Personally, I think his likeliest route to success is white ball only for the next few seasons and then convert back if that doesn't work. In any case, he just needs to nail down something. England did him no favours this year by seemingly saying he was #3 cover then bunging him in at six. Likewise, not deciding what disciplines and formats he will play generally will see him suffer from confusion.