My suspicion is that a national lockdown (or more accurately threat of) is much more of a stick to get compliance rates up.
A two week shutdown won't get infection rates down a lot. We saw this in the first lockdown. The rate of cases was doubling every 3 days by the time we did lockdown but it took a week for that to reverse.
At best it would be a stop gap to get us to Christmas (where we would have another 2 week lockdown - and yep no meaningful Christmas though im not entirely sure how that would be enforceable apart from due to the sheer number of deaths frightening people).
And then from there the early part of next year would still be extremely messy but slightly less messy than if there was no national lockdowns.
The message about compliance with rules is the one that they have to get out. If people want to go on about how Sweden did it, they need to understand how adherence to the rules that are put in place is key and that since we have a much higher population density than sweden this isnt going to be sufficiently viable at some stages anyway either (hence need for local lock downs at some points).
I think my point is that the only thing the public really is bothered about is a national lockdown and the threat of it is something that behavioural scientists will understand.
Could be wrong, but thats how im reading it.
And if we get a second national lockdown, i very much doubt we will escape a third and Johnson being labelled forever as the Grinch who stole Christmas which would be an enduring image come the next election (and why Johnson will want to do everything he can to avoid it but circumstances may well conspire against him especially with Brexit).
It will be interesting to see play out.