It makes more sense in a country that already has a social safety net; I've read somewhere (citation needed, I know, I'm not very deep in the subject) that the cost and overhead of assessing and paying the individual cases of unemployment, long term sickness, disability, homelessness etc is more expensive than just giving everyone a basic income.
But yeah, #2 is what I'm afraid of too. Paraphrasing a cartoon villain, if everyone is wealthy, nobody is.
Besides, in the past decade, cost of living / housing / rent has gone up so much that even a $1000 / month basic income can't give you anywhere decent to live anywhere. In addition to basic income, we need basic housing - which is dangerous, because it invokes the USSR's rows of depressing and substandard apartment buildings. But everybody should be able to live comfortably at a standard of living. Everybody should be able to have access to and afford a two bedroom house or apartment on a single income, or the social safety net if they are not employed.