Hi Michael,
It should be noted that the increased fares on TfL routes are still less than the equivalent fares on NR routes, even though the latter have been frozen. It should also be noted that the application of small percentages rounded up to the next 10p mean that all NR short journey fares have risen significantly above inflation since 2015. See https://oysterfares.com/extortionate-national-rail-fare-increases/ for more details.
As for political pressure, perhaps contact your London Assembly member. I’m not convinced that there will be much appetite to do anything as it is all tied in with funding settlements with the government. They might be persuaded to consider asking for zone 2-6 and 2-9 caps again – a move I would certainly support. You could also try contacting your MP.