Well, having Saxons really get out of IOTL Old Saxony is doable, and I don't think you even need the 3/4 of the population to do that.
Let's say we accept the overall validity of the Daner legendarium of the Vth century (which is itself not too far-fetched) : have Dani and Gaeti (possibly Iuti as they were repelled before) advance further than IOTL and really take on Old Saxony whom people partially leave and join up with other peoples :
- Eucii, that probably are part of repelled Iuti IOTL, and that would be more powerful than IOTL (tough still possibly under Frankish hegemon)
- Frisii, admittedly very close
- Anglii, as it was partially the case IOTL
- Saxons already settled in Gaul (modern Normandy, possibly lower Loire's valley)
- Saxons already settled in Britain (Saxon Shore and newcomers of the eastern shore)
The Saxon presence in Britain wouldn't need to be that increased, the point being having less continental Saxon presence, one that should merge with other peoples at middle term.
Eventually, it may be a case for calling germanic settled Britain or at least a part of it as an equivalent for Saxony (Saxenland?).
Another reason to not call for 3/4 of the continental Saxons would be the sheer logistical nightmare of such a migration, if even realistic in first place.
But let's admit that this new migration involves enough numbers to really change demographics there.
The already established chiefdoms would certainly benefit from it and it could be enough to make more stable and structured first Anglo-Saxon kingdoms, preventing them to shatter as germanic presence advance North-West (meaning possible NW/SE border orientation of the germanic chiefdoms?).
It could mean earlier appearance of what is sometimes called a cyclical chiefdom (basically a statelet getting temporary overlordship over dominee statelets) but how this earlier structuration would affect Romano-Britons and their own structure is really hard for me to guess.
I suspect, though, that an increased number of Saxons joining with the former Saxon Shore and most likely Germanic presence in southern-western Britannia could see an earlier rise of a statelet as Wessex and eventually a more important germanisation of the region.
The more important presence of Saxons in the other side of the Channel may bolster even more the relationship between them, which would most definitely benefit to the Frankish hegemony (maybe a stronger Seine-Neustria basin, with a greater Frankish political influence on Wessex, similar to the one on Essex and Kent?)