The issue with 3 pronged outlets comes when you stuff that isn't UL approved, if it is, then 3 pronged is not an issue, if it isn't, then you may have an issue. It literally has to do with electric shock from the appliance's case.
If it were me, I would use the adapters rather than switch it out, because you can very well have a grounded case (the box everything gets crammed into) and if you screw that little loop on the bottom of the outlet into it with the faceplate screw you actually effectively made a 3rd prong ground. However I wouldn't count 100% on the case being grounded.d.