EDIT: Confirmed via Lukas's twitter! twitter.com
The text on the card is fairly clear. It looks to be worded very intentionally for the purpose of working with run effects. "Instead of accessing cards" has no prejudice toward the amount of cards accessed, be it 20 or 0. Access isn't prevented, but rather the number of cards accessed is limited.
I'd eat my collection of Sharkeisha figurines if this doesn't work the way it looks designed to.
You're absolutely entitled to wait for confirmation, but I'll be accepting any and all offered hugs.