Well, as we have said, there have been SOPs in place for years to cross check the QNH : PM listens to the ATIS at a suitable point and writes it down on a "bug card", which is placed on the centre console where both pilots can see it. And CM1 sets the ATIS QNH on their altimeter and resets their altimeter to standard, or sets it on the standby altimeter. Then, when ATC gives descent to an altitude, they will state the QNH and the crew will check that it is close to what is written on the bug card and agrees with what has been set on CM1's or the standby altimeter.
I agree with Alex, a good revision point for all of us.
Altitude vs distance checks are meaningless if the QNH is incorrect. Height, (from the RAD Alt) vs distance checks would be a proper, meaningful check, and NPA plates should be published with this information.
I am not sure that throwing more technology at this problem, e.g. automatic setting of QNH via radio link or whatever, would be worth bothering with : it would bring more problems than it might solve. We already know how to do this: make an independent cross-check of the QNH - especially if there is no ground transmitted glide-slope information available.