I think Tim Heemskerk is the coach, but Heijboer is the main coach.
Mathieu Heijboer is head of coaching, but Tim Heemskerk is Vingegaard's actual coach. Simon Yates specifically asked to be coached by him as well when he joined Visma... and the result seems to be pretty satisfactory.
You are absolutely right, Pogi learned his lesson in 2023 and is strong here too, now.
But related to Jonas and as I see it, 3rd week stuff and marathon mountain stages is his only weapon, taking into account of Pogi's vivid activity all around the calendar it could be his only (small) weak spot in his shield. But with max 170k 3rd week mountain stages and last 130k Pogi could well be saved here - unless Visma manages to bury UAE with agressive tactics, using their lieutenants massively - but admit I have hard times to see that happen.
In 2023 it didn't look like their tactic was working either, in fact for the first two weeks of the Tour people were ridiculing them for sticking to it, making every stage hard and in the end Pogi simply sprinting away from Vingegaard.... but then he collapsed completely in the final week and they were vindicated.
But Pogi's new coach knows what he's doing, he knows the endurance and the recovery was Pogi's weakness and they've trained on that. I don't think they can crack him using that tactic anymore.
Maybe a slight glimmer of hope for Vingegaard could be that he did improve throughout this Dauphiné. He already looked a lot better on Saturday than on Friday... and I don't mean that he got closer in terms of the time gap, which he did, but he just looked more like he found his rhythm, less forced, not suffering as much. But if Vingo looked more at ease, Pogi looked like he was going grocery shopping, so yeah... not sure they can take a lot of confidence from that.