Late to this whole 'Swiss style deal' thing, but key point to remember is that EU isn't a supermarket: you don't get to pick & mix what you want
What bundle EU is prepared to offer you is their call, from membership all the way down to participation in a single programme
For the hard of remembering, maybe have a look at saga of UK's 3 membership bids, Cameron's 'renegotiation', and, um, basically everything since 2016
In the current example, piecemeal selection of the 'good bits' of the Swiss arrangement isn't going to be acceptable (they go with the bad bits because EU insisted)
But also, Swiss deal isn't on the table, because it causes too much grief in Brussels (hence UK's TCA framework)
In last 4 months, govt's own tracker records not a single change in status of the 2417 pieces of REUL
That might be down to poor record-keeping, but the site does note updates in September, plus strong incentives to move things along given all the PMs' pushing on this during this year
We know that neither Sunak nor Mordaunt have made much of EU issue so far and there's some suggestion it'll be a bone used to placate internal Tory factions
Treating EU as second-order could obviously also mean it's not worth fighting EU about, given likely economic/geostrategic upsides, but that neglects continued strength of feeling in some backbench quarters
FWIW some thoughts on how the new PM might approach the EU issue
tl;dr more of the same, at best
1/
Let's assume for now it's one of Sunak, Johnson or Mordaunt
But in any case there are some common constraints
2/
Central in these is the likely lack of focus on EU as a priority issue: salvaging economic credibility will take much time/effort, even for the safest pair of hands, so expect that to dominate
3/