Is it accurate to call an inflation-adjusted yearly payment of ~$2000 UBI, though? I know nothing about housing and living expenses in Alaska, but I'd guess that isn't exactly enough to make work completely optional.
It sounds like you're conflating a few things. UBI is as it says, an income that is given universally. UBI doesn't imply a certain amount of income. Other phrases may be used for what you seem to be describing: full basic income, guaranteed minimum income (which implies means testing).
This is why I'm glad in practice politicians, economists, etc., tend to study these things in order figure out how to structure social services in a way that actually helps people and not to make "Reductio ad absurdum" style arguments.
Honestly, I'm not sure the frequency needs to be extraordinarily high. The ability to get rid of the "but think of all the jobs that will be lost" argument lets us get rid of swaths of bullshit jobs that don't need to exist, or even actually harmful jobs. It's been a constant roadblock to greater automation.