Rather than 377s being returned from Southeastern to indirectly replace the inner suburban 455s, wouldn't it make more sense for Southern to actually take some actual inner suburban trains to use on inner suburban routes, such as the Networkers, 376s or 707s?
Well, the Networkers had horrendous signalling interference issues when first introduced (kept Mr Ford in column inches for years)! The legacy is the large number of boards with Red Crosses with 'Class 465/466' at the top of them, ie. no entry to Networkers.
So there's no way the SN routes are going to be cleared for Networkers at this stage in their lives. The 376s should be easy, if you like that kind of train and, probably, the 707s as well but someone with up-to-date info on their electro-magnetic compatability (ie. do they turn Red signals Green when they go past DC reed circuits?)
Never quite got why DfT ordered so many 378s/377s etc. etc., other than that it kept Derby going in a crucial election period (2010). There were loads bought by SN, at DfT's request (this was before the GTR franchise relet) in the expectation that some might be transferred to other routes (eg. GW) but even so presumably the plan always was that inner suburban routes should be exposed to the relative comfort of carpets, quiet and air conditioning to show up how grim the 455s were by comparison.... (!)