This has been mentioned before: the
designation Class 508 may have been intended for Merseyside, but the sets themselves were built as four carriage for the Southern Region, including different compressors, door controls and the other differences we've already pointed out making the 508s different enough to justify their own class designation. The fact 58 units were planned suggests the decision to use them on the SR was made early on, as nothing like that number would ever be required on Merseyside. The 455s were originally to be Class 510 as well, I think, despite the 5XX designation being mainly used for non-SR third rail stock.
Once the 508s had been delivered to Wimbledon, it wasn't a certainty they would actually be cascaded to Liverpool. There was a degree of negotiation between British Rail and Merseyside PTE once the 455s had been ordered before the transfer was agreed. The first 508s to be transferred were for the Northern Line to bolster the 507 fleet in early 1982, with the first 508s not used on the Wirral Line until 1984.
As for the 508/2s, 508212 also still exists at the Fire Service Training College, Moreton-in-Marsh, albeit in a very sorry state now:
https://flickr.com/photos/truebritishmetal/52031283680/in/album-72177720298394651/ (Photo copyright True British Metal)