um ok. the Levy wasn't in there just because it's a shaper deck. i have since gone down to 1 with no Same Old Thing at all, but i already said why i was running 2 instead of 1 (since 1 was just replacing Same Old Thing that was only there to use Levy late game)
you're right that lots of stuff won't be cycled back in, but that's not necessarily a bad thing (in fact, i argue strongly that it's NOT a bad thing). the argument could be applied to Prepaid Kate, and no one argued that Levy was a dead card for her, even when Plascretes, Sharpshooters, Atman, etc. weren't relevant to the current game (and had to be drawn up again before hitting those events). when my Hayley uses Levy, i get Harbingers, Caches, and since there are less cards overall in my deck, i'll see them quicker, even though, gosh, 5 cards are copies of unique stuff! (only 4 at this point, i've already swapped 1 Toolbox for 1 Akamatsu)
and of course an installed Clone Chip is useless with nothing in the heap, but that has absolutely nothing to do with Levy, and that board state can be created without any help from Levy at all
Levy use is dependent upon how much you draw up and pitch and how many things you want to through back in your deck. Prepaid Kate had 9 events, and i have 6 obvious targets for Aesop's, 9 if you include the three Daily Casts (which i do, since it's great economy with AP). but also Self-Modifying Code, Akamatsu, and even those 'useless' Clone Chips can be Aesop's fodder when they have no relevant targets, and they haven't cost me as many clicks to install, and with Personal Workshop, many of them come out for free.
PE is really common in my meta (i've played 3 separate PE decks in the last week out of a total of 5 runner games), and i find that Levy is very good for that as well.
anyway, i find that i actually do run through my deck when playing as this Hayley, since i'm installing and drawing a lot and only really running once per turn (if at all), and i was originally running 1x Levy and 1x Same Old Thing, but i wasn't really running any events that warranted Same Old Thing (other than Levy), so the second Levy was just a backup so i could ditch an early one that i didn't need and not have to worry about installing and using Same Old Thing later, just play the other copy and save myself the clicks.
but i already said this. it's all rather obvious, but i think a lot of people just like to make assumptions instead of actually read all of someone's post before replying.
i have been testing a lot of Adam lately, but i tried Hayley for one match tonight, and that 1x HQ Interface would have made a huge difference haha. i still won, but it would have been 7-4 instead of 7-6 and me sweating every turn until the corp pulled an agenda (they had biotics in hand and a vitruvius token)
definitely going to make that change. it's really hard deciding what to pitch, but i'm leaning towards either 2x Cache or your suggestion, 1x Cache & 1x Harbinger.
and yeah, DaVinci did some serious work tonight. i got one in my opening hand and another by turn two or three and managed to get one up to 9 counters for a free Toolbox and the other up to 5 for a free Shrike. it was seriously good. i can't wait to try them with Patron. until then, i think 2x DaVinci and 2x Self-Modifying Code are right, since i ended up selling one SMC to Aesop's and needed the other for my Corrodor, but maybe i'll try a third once i shift stuff around for HQI or (see below) an armitage.
i'm also thinking the Personal Workshops could easily be Armitages again. or maybe i just need to draw them early enough. will need to test more. maybe just 1x Armitage since i rarely end up clicking through 1 completely and absolutely never click through a second.
Technical Writer again wasn't seen until late game, so i'm not sure how i feel about it. with another resource, it's free Aesop's fodder, so i'm loathe to remove it. if i get them early, they are seriously really good since there's a lot of installing