First of all (and as I have said before) ... forget (that is, ignore) CE marking. In practical terms, it means nothing. You can buy rolls of CE stickers, and stick them on yourself if you want.
Secondly, yes ... "wall warts" are junk, electrically (safety) speaking. But, who is at risk here? The patient? I don't think so. The user then? Yes, perhaps.
But (unless I've lost the plot, and failed to keep up ... both of which are quite likely), I believe that the stringent low values of allowable leakage currents applicable to the various classes of medical equipment (with which we are all familiar) are there to protect patients in electrically compromised situations (that is, when natural defences have been breached), as when in direct electrical contact (for purposes of examination or therapy), or when undergoing surgery, with electrodes poking about within the body, in an anaethetised state,
etc., etc.So let's not get too excited about the 3p "charger" ("adapter", whatever). What are you going to do ...bin them all? [yes ... good idea]
And ... what about all the clearly "non-medical" ones seen every day in any hospital? All the "personal stuff" ... like mobile device chargers and all the rest? How about going around and cropping the leads off just where they exit the "charger". H'mmm. That should get the owner's attention!
Not being one to "disrespect" the NHS (for example) ... surely hospitals have some sort of policy about all this?

Personally, if I was doing the rounds on an electrical safety mission, I would assess each bit of kit as I found it. My reaction would depend upon where the thing was, what its purpose was, and what else was supposed to be going on there. If it was owned by someone other than the hospital (and I thought it presented some sort of risk), I would "have words" with the owner. If it was something outrageous, I would destroy the thing and chuck it in the bin. How's that for a Policy Guideline?
Like the Retailers (and worms like Estate Agents) like to say, it's all about "Location, Location" ... and, er "Location".
One last thought ... if the laptop (
etc.) user is happy enough to accept the "risk" (or, more likely, crack on in blissful ignorance) of using the laptop (
etc.) at home, with all the attendant "accidents waiting to happen" there (spilled coffee comes to mind) ... need we make a fuss about the same equipment being used in the hospital? Well, unfortunately, yes ... "duty of care" and all that. And third parties (
injured parties, even) are likely to be involved. So ... surely we (the management, someone) has the right to require that no unsafe junk be brought within the hospital from outside.
Again ...location:- office environments :: OK. "Medical" environments (define) :: keep the junk out. Discuss (actually, it's an important issue) ... similar to the perennial "extension lead" problem!