If the floor is level then yes it could be bedded on blobs of adhesive, it will make it a bugger to fetch it up for any reason though
Does the concrete floor have a DPM in it?
If not I would put DPM down, followed by a thin laminate flooring foam under lay, then the boards on top, just bear in mind how much clearance you have under the skirting if they have not been removed, if its not enough and you want the boards to fit under the skirting then the skirting will have to come off, which will mean a skim whith plaster afterwards, you can hire a tool that takes the bottom off skirting with out removal but not many hire places carry them
You may want to give the screed a coat of self leveling compound first if the floors a bit wriggly
