In Pokémon Omega Ruby and Alpha Sapphire, there are a number of time-sensitive events (daily, weekly etc). To prevent people twiddling the calendar to do the events multiple times in a single real-world day, the game is coded to detect calendar changes and disable these events for 48 hours.
I've just cleared Alpha Sapphire, and have picked up X again to catch some stuff to trade over. My copy of Alpha Sapphire is physical, my copy of X is digital. I've been playing both on the same New 3DS. I still have my old original 3DS. Obviously I can't run X on the old 3DS without doing a full System Transfer over, so to trade between it and Alpha Sapphire, I'll need to put the Alpha Sapphire cart in my old 3DS.
Will Alpha Sapphire detect the different system as a calendar change, and lock me out of time-sensitive events for 48 hours? There's a few time-sensitive events I still need to do (and an ongoing effort to grind daily Secret Base flags), so if so I'll hang fire on trading stuff over for a while before I've done that.
I know I could side-step this by pseudo-trading via Pokémon Bank, but that won't work for trade-evolving Pokémon. I also don't currently own a third Gen VI game to use as a 'man-in-the-middle' for trades