I am of the "go ahead an chain 1 hour short rests together if you want to" camp. I see no problem with the fighter being at higher current hp at the expense of in-game time. Time in D&D is a resource as much as hit points, HD and spells. Occasionally, a party will have time to burn and, occasionally, they won't.
I know some DMs don't feel like they're doing jobs if they aren't constantly inflicting attrition on the PCs, but that still isn't an issue. You're still inflicting attrition on the party as a whole. Rogues, clerics and wizards will be using up hp, HD and spells even if the fighter is attrition-resistant in the matter of hp/HD (at the cost of extra-time). When the party, as a whole, is worn down enough and circumstances permit, they take a long rest. Easy as that.
The fighter trope of the warrior with loads of endurance, fortitude and "never-say-'die'-ness" is well-served by SW, allowing them to be ready for battle throughout the adventuring day, even past when other classes are out of HD and spells. This is a good thing, since they paled in comparisons to clerics and paladins (or any class with self-healing) in previous editions. I'd even say SW is a bit too weak since the scaling looks poor.
