Theory 1 would presuppose the upwind wing is producing effective lift. On landing the spoilers are delayed pretty damn quickly = PDQ. The lift is dumped. The brakes are ON. IMHO neither wing will be producing any significant lift. Then the TR's are deployed and the brakes reduce. All this happens in seconds.
Hence my scepticism about this theory.
To confirm, yes/no you'd need lift sensors on the wings. Perhaps AB, or Boeing, has some wind tunnel data to share with us. I'm sure they researched the lift dump phenomena during the design of spoilers and brakes and the stopping calculations including that of RTO. Remember TR's are not included in that. Hence they would want to design a very effective lift dump system to maximise the braking and reduce their size & weight.