This card was largely panned when it came out. Runners had some multiaccess, but it was not super common. Anarch was weak, so Medium was rare, and the only real multiaccess threats were usually an R&D Interface or two. Most corps took the view "why not just include some ice that actually keeps the runner OUT? Then they access ZERO cards!"
But now, as of this writing, we're two datapacks in to the Mumbad cycle, and I'm starting to seriously wonder if this card's time is coming. First, the obvious - it offers an expensive speed bump to Medium. It won't fully keep them out, but at a better rez:break-cost ratio than even Eli 1.0 this card reduces the utility of multiaccess by quite a bit. It costs 5 to break with Gordian Blade. 6 with ZU.13 Key Master or GS Striker M1.
If the runner is running multiaccess, this card will almost always force a break. Which at a rez cost of 3, is fine by me.
There are also many more upgrades available now than when this card was printed. When this card came out, we had never even HEARD of Caprice Nisei, but now... Forcing the runner to choose between trashing Caprice, and accessing whatever she is guarding, seems like the kind of choice I'd love to force the runner to make. Also works with Ash 2X3ZB9CY and other defensive upgrades.
And it's even only one influence!
I'm not quite there yet. And I can't see myself including more than one or two in a deck. But I think this card is quickly moving from "throw in the card-binder and forget about it" to something that is actually worth considering for serious decks.