I don't know anything about guitars, I just play a Fazley telecaster copy, but if the two things I have learnt about bass guitars can be of help, over such a long period of time Fender is likely to have made small changes in terms of some of these factors:
-neck radius
-neck depth and overall shape
-neck finish
-fret size (which for the older strat may have also been affected by fret dressing at some point?)
-pickup winding
Any of those things would make a massive difference in feel, and the pickups would make a massive difference in terms of sound.
Then there is QC. No two industrially made guitars have the same quality in terms of fretwork, which affects playability and even sound.
On that front, there are simple but big things like nut slots. Any chanche they are cut a bit lower in the older guitar?
Possibly a bit down in the list there is the fretboard material, which feels different under the fingers, especially if frets are not big. And maybe feels different as the wood ages.
Also, I personally tend to fall in love with naturally aged necks. I am pretty sure technically it does not make any difference in terms of amplified sound nor in terms of playability (unless it's bare wood, which is never the case). But it just feels nice to hold them in my hand.