Inner Axle Housing Seal

We've been down this rabbit hole before. Think how many MILLIONS of vehicles use green type bearings. Purt near ALL front wheel drive cars do and a LOT of rear wheel drive vehicles, too. But let's keep this on track, because the OP wanted to know about the inner seals.
Agreed. With green bearings, in my opinion, can't hurt to use the inner seal, but not required.