the below is not related to the above quoted post:
US citizen collecting unemployment, not intending immigrant collecting unemployment. Which is not possible anyways since you have to pay into it in order to receive it anyways. For a minimum amount of years.
So back to the topic.
US citizen can apply for unemployment, food stamps, medicare and basically anything they're eligible for. The immigrant can't. Remember if your situation changes, you'll have to notify the agency about it. For instance, an immigrant's income is counted in household size however, they can't apply for food stamps so they don't count but their income would.
It's up to USCIS in the long run. All cases are unique. Had your fiance been out of job for 10 years without a valid reason and been on government support, you'd most likely become a public charge. Unemployment doesn't count for or against you per se. And it's up to USCIS to consider unemployment as a valid source of income as well(since it will not continue). I know you have a co-sponsor but please take into consideration that your fiance will be supporting 2 people so getting a job - any job - and saving up might be a better solution in the long run to secure a job before you arrive.
further violations will receive at the least a thread ban.