This is a question for the wise and widely travelled suspension guru types

I just replaced all the bearings/seals/inners in my linkage using OEM parts.
While going through the process of installing a different shock i had noticed there was some up/down play in the rear wheel when the rear wheel was hanging, not much but it bugged me enough that I wanted to replace all the moving parts.
I used a 12mm high tensile bolt and various sockets to press out the old bearings and push the new ones in, no problem there and I didn't have to remove the swingarm like the manual says to do.
Anyway, here's the thing. With all brand new OEM parts there is still a tiny bit of up and down play when the rear wheel is hanging, only a couple of mm but it's there. The play seems to be mostly in the pivot point for the linkage on the swingarm. I can just feel it moving with my finger stuck in there.
So....is this normal???? Is it ok?
Is there a better option than OEM...upgraded bearing?? using two shorter bearings????
Would really appreciate some enlightenment
P.S. I realise that these are high wear components and there is a lot of stress on the linkage bearings, which don't actually appear to be that big considering the job they perform. The bearing at the linkage pivot on the swingarm seems to me to get a good old hammering.