Yep, the “I drew literally all agendas and no ICE on a draw (and mulligan) at the very end of the bell-curve” is not fun.
But the existence of Jackson Howard allows deck building that is more ICE-light than would otherwise be the case. Or at least it allows ICE-light builds without accepting the full extent of the downside that low ICE builds bring vis-a-vis variance. (Low ICE gets you less ICE, obviously, but the less ICE you have also makes for a greater effect of variance in your random draw. A deck with low ICE is a lower defensive strength deck, but it also has a wider spread of potential defensive strength dependent on draw.)
Encouraging two or three extra ICE in a deck because you can’t rely on Jackson Howard actually nudges the game back towards “standard” ICE versus icebreakers Netrunner. (Or people can run more “efficient” ICE levels and accept the downside in the odd game of course. But that’s their choice to push their luck.)