Looks like Test & Go acceptances are coming through a lot faster now that the process has been further streamlined.
I applied on 12th April for re-entry from Cambodia on 26th April. I found much cheaper insurance than I'd found before (link from the Test & Go site) then discovered that all I had to do was to select province and hotel then input my Agoda SHA Extra Plus booking reference to have my hotel and PCR package validated in real time. I then made sure to upload QR codes for all vaccine doses, as well as all certificate images.
I was gobsmacked to get my Thailand pass back within 24 hours. Then a colleague returning from Vietnam reported a similarly quick response time.
So it continues to get easier, but hopefully next month no need for any of this!