I would still expect a 377 to be capable of both given they are modular and the parts added with minimal fuss. Isn't there also a requirement for any new EMU to be capable of using the 25KV OLE network even if it may only see use on the 3rd Rail network?
Yes, but I think you are possibly thinking of two separate scenarios, a 100 mph DC EMU will still have to be tested at 10% overspeed in its normal area of operations, normally under a possession. Irrespective of any dual voltage capability they would still have to be able to demonstrate safe running at 110 mph in the third rail area, using DC pickup.
I don't think a DC EMU sub-class necessarily has to be tested on AC - just because the 707s are doing this doesn't mean it will necessarily be a standard requirement for all future trains. It may well just be best practice from the perspective of the owning ROSCO, as was pointed out recently about the general provision of space for AC equipment nowadays. I suggested a couple of weeks ago dual voltage "fit to receive capability" was a DfT requirement, but was quickly corrected.