I will definitely be using this agenda in any NBN deck I build with tagging in mind. 3/1 agendas are normally in an awkward position since each faction has a 1 pointer that only costs 2, and 3 advancements could instead get you a 2 pointer (In NBN's case Project Beale, or 2 points and an easier future agenda with AstroScript Pilot Program).

However, the great thing about Quantum Predictive Model is when you are using a tag storm deck it becomes something the Corp usually wants but can't have: a safe agenda. There are still a lot of stubborn runners out there that float tags instead of getting rid of them. This card punishes them for that. If the runner is double tagged, Quantum Predictive Model becomes safer than NAPD Contract, requiring 2 clicks and 4 credits to be allowed to steal it again, then they still have to make the run. Beyond 2 tags though, it just keeps getting better. If the Runner is too far into the eye of the tag storm, they may never have any hope of stealing Quantum Predictive Model. Best of all, even if they have given up on taking Quantum Predictive Model, they can still accidentally give it to you for free by accessing it from R&D. Who cares about it increasing your agenda density if the Runner can't steal it anyway?

Of course, it isn't perfect. If the Runner has a better answer for tags, or if your tagging ability isn't as good as you thought when building the deck, you're going to regret picking this over some 3/2 agendas. But ultimately, I think it's a welcome addition to NBNs toolbelt.

Film Critic > QPM, apparently. Will likely need an official ruling because it contains both 'if' and 'when' which could be ruled as either a conditional or a constant, but it will probably be ruled as a conditional. —
I'm guessing the ruling will state that since the accessing happens on the Runner's turn they get to choose which effect resolves first. The Runner would choose Film Critic, then QPM never resolves because it is "no longer being accessed" per Film Critic. Guess we'll see. —
What's interesting is that if my guess is correct, Film Critic doesn't negate this agenda exactly the same way it does a lot of others like NAPD. Since this agenda is likely to be run in Tagstorm decks, Film Critic (being a resource) is already the best possible target for trashing. So it would end up being a tense game where timing is everything. At least in theory. Maybe in practice Film Critic would just shut this down entirely. But hey, it's only 3 to advance, so it still wouldn't be worthless in your deck. Its worth would just be diminished greatly —
Works great with Data Raven. If they can't avoid the mid-run tag (which they can't unless they run Decoy, Forger, etc...) then they have no hope of stealing this. You simply can't avoid the tag. —
Does it work with bandwidth? —