I think your solution to that problem goes the wrong way, though. The problem is whether or not a lambda can survive past the immediate usage, not what it captures. Listing those resources explicitly still gives you the same bug, banning [&] didn't avoid it.
I'd suggest instead an approach where a template taking a callable annotates whether or not it's "inline". If it is inline, then [&] should just be the default even. If it's not, then ban [&]. Possibly ban taking anything by reference if it's not a synchronously-used lambda even.
(inline / non-inline terms here cribbed from Kotlin https://kotlinlang.org/docs/inline-functions.html - probably there's a better word for it, but whatever)