Did "analogue" flightdecks provide better information in unreliable airspeed situations, for example?
You're missing the point or misunderstanding the problem a little, I think.
The older style aircraft (which happened to have analogue kit due to the available technology) generally were crewed by pilots who did a lot of hand flying - often raw data (ie without any "helpful" gadgets) - and didn't need autopilots, flight directors, and autothrottles to think for them.
Even with such gadgets, we tended to "look through" the flight director, for instance, and fly much the same as we would without one using the old-fashioned I/F scan processes - the flight director helped a bit by assisting the on-the-fly decision processes but was not followed blindly and without pilot thought.
Hence if an ASI problem arose, we just kept doing what we had been doing without the use of one of the usual set of information sources .. just meant we paid more emphasis to pitch attitude (on the AH or whatever term was used for that installation) and engine thrust settings .. and it all just sort of worked out fine.
However, maintenance of the skills required practise. The risk in modern aircraft is that these skills are lost.