Not what most of us on here want to admit, but I don't think 97% of our offspring born in 2010 (i.e. digital age) or after are going to give a flying hoot about our empires of cardboard. 
I think more than ever, it's literally a digital world and if it's not on a screen and "moves", I think it will be irrelevant to them.
And with the exception of a few players, the names will be just that - names, that they don't associate any memories with or any feelings to.
Opening packs together, may be much more of a memory for them, than the actual cards! Or better yet, going to actual sports events (if possible).
I don't hold out much hope that future generations will place any significance on relics of the past. Maybe, just maybe, they will enjoy opening "current" cards of their future, much as you have enjoyed 80's, 90's, 00's, etc.
But squirrelling away (current) cards with the notion that they will evoke the same feelings as you have (now) for them (then) I think is wishful thinking.
As a child born in in the mid-1970s, even though I currently like cards, I don't think that my old man handing me a 1977-78 OPC set would have done anything for me. It would have been players and uniforms that were largely irrelevant to me.
