Confusion does appear to reign wrt liberalism. I think one of the problems presented by
two sheds posting is a conflation of both general & 'academic' usage, and European & Atlanticist interpretations.
AIUI the phrase 'socially liberal' is essentially of US coinage and in that context refers (usually in derogatory terms) to those with 'progressive' or 'permissive' views/mores, and has little to do with any accepted ideological definitions.
A great deal of confusion can arise when such usage is carelessly conflated with
social liberalism, which is a defined ideological sub-set of tenets that hold the usual
liberal core views of the individual, freedom, reason, (formal) justice and toleration, but see a role for state intervention in the workings of the market to secure
positive freedom. Such an ideological position is usually contrasted with
classical (or economic) liberalism that idealises the free-market and sees
negative freedom as an essential pre-condition for capitalism.
All this mostly based on Heywood.