quick question guys about a used turbo i bought

seller said turbo ran perfectly There is slight play in the shaft side to side and up and down but none in and out. Got told the side to side movement is from the turbo being A journal bearing type.

i have also noticed a slight honeing mark on the compressor housing under compressor wheel. ( lighter grey in colour to rest of houseing ) I’ve also been told thats normal caused due to starting the car from cold so no pressurised oil to centre the bearing.

im not sure how much all this is true as im no expert on turbos so just wanted to ask before i either keep it or send this back to seller.

i have attached a photo

and video link below of me moving the compressor wheel up/down and left/right.