Besides which bug bounties are not really intended to disincentivize people from committing crimes, they're intended to incentivize researchers to report findings and reward them for their efforts.
Doesn't matter for our case, since it already assumes the database potentially compromisable. The parent's comment concerned whether the "bounty for capturing a flag inside a publicly available encrypted vault" is enough. So the question is not whether the bounty is enough given it's impossible to win, but whether it's enough given it might be possible to win.
In other words, whether someone who finds an exploit to decrypt the vaults contents would get a better value by (a) revealing it to 1Password company and taking the $100K bounty, or (b) selling the exploit to people who would give millions to be able to decrypt other's vaults...
Password managers don't operate with those economic models though.
Unless a successful attack actually occurs, in which case it's literally almost priceless in terms of their reputational damage, unless they can get their hands on it before someone else.
But, if you ask around enough with security teams at the large cloud providers, there are definitely rumors of APT-level activity being detected/blocked at the infra level. Yet, cloud is still the most secure option out there vs. on-prem in 90% of the use cases for it so to speak. Similarly, there is just too much precedent of high trust firms being breached, and nothing really happening to them as a result (fines, loss of users, etc).
So, you allocate $1mil, possibly spend it, and either way can't use it for anything else, or you allocate a fixed cost of $600k/yr and get a lot more out of it on the security front, to include solid defense-in-depth, detections, and IR capabilities for if/when the successful PWM attack finally occurs. Personally, yes probably worth putting out a hefty bounty, but pragmatically you'd get more out of hiring the engineers.
In fact, I'd argue that, if they are positing that the reputational risk for a successful hack exceeds 10% of their notional valuation, then they should try to commit at least 10% of their market cap as insurance against that ever happening, or at least if they would gain enough information to prevent this from ever occurring. This isn't that hard to figure out.
The best thing about that insurance is that it's literally free -- they never have to pay out unless the event actually occurs.
Given that the payout is probabalistic and serves business goodwill, I'd argue for a more substantial reward. Possibly secured through a bond or insurance policy.