I was gone all summer, which meant I had missed out on the announcement of new modules. The day I returned, my corp picked me up again and had me travel to some remote region of Metropolis where the Minmatar were apparently being overrun by a nullsec horde.
So, I first ran into ASBs in space without knowing a thing about them.
My initial encounter was with a Merlin with an ASB. I was thinking that this guy had an incredible tank, maybe drugs and boosters. Fortunately, I myself was in a dual-rep Incursus. We blasted each other for five minutes or so, and when he had to reload his ASB, he melted fast.
The next encounter was with an ASB cyclone which was tackled by a squad of us in t/d condors, with myself in a comet for DPS. It was caught off the gate by a handful of frigates and ended up just tanking us until the ASB had to reload. Then it died.
After that engagement, I finally learned what ASBs were. I then watched as corpies in dual-sebo thrashers started alpha'ing ASB frigates one at a time. Pop, pop pop.
ASBs can be extremely useful and potent. But even in solo or small-gang situations, they're not wholly dominant. I think they're still working themselves into the meta, and pilots will eventually learn how to plan for and deal with them.