Perhaps Thameslink & GN both share the same livery with the only differences are the logos?
As Thameslink is expanding rapidly, now going into Southern territory such as Littlehampton and further north into Cambridgeshire, that class 700s seem to be taking over the GN routes as well so it may be possible the GN brand may one day be phased out in favour of Thameslink?
This has got me thinking, the gov merged TL, GN and Southern into a new single franchise that they may have planned for this to become a single larger Thameslink franchise and killing off the Southern & GN brands?
GN seems to be a quite small franchise, if both TL and GN share the same trains and livery then it is possible this will be all Thameslink once the expansion programme is completed and the GN routes to and from Kings Cross & Moorgate could be rebranded as Thameslink.
If GN & TL are set to merge, then Southern & GX would be spared as the gov is said to be splitting up the TSGN franchise otherwise Southern could get rebranded as Thameslink south of London and northwards to Milton Keynes.
TL and GN are just GTR brands. GTR is the TOC. Since GTR won the TSGN superfranchise, services that run through the core have been branded 'Thameslink'*. Thameslink is also the official name for that route, (ignoring the daft claiming of it by GTR as
ThamesLink). As the outer suburban services from the Cambridge and ECML are integrated into the existing Thameslink core service, it is sensible for them to assume the Thameslink brand as well.*
The colour scheme of the Thamelink class700s is white/grey with blue doors whether the trains go through the canal tunnels of up through Dock Junction. It seems probable that the GN brand will be irrelevant once the full TL timetable is in operation. The few class365s will spend their last days providing a few peak hour services whilst there is capacity at Kings Cross. The colour of their doors is irrelevant. The other brands of GTR, Southeren and Gatwick Express may well survive if and when the DfT decides to let them separately to Thamelink, although they might be mixed-up with some restructuring of SE and even the Downs Line IMO.
* Just as support services into London Bridge are also branded Thameslink, it would seem logical to include the ex-GN routes as well. Of course it is always possible that the Moorgate services end up TfL controlled. Note, The Thameslink
route has always had that name since it was created, along with West Hampstead Thameslink and City Thameslink stations. First Capital Connect temporarily changed its name but the officieal Thameslink name was still used.