Generally no. However, there are some circumstances where it is considered. One example would be a seasonal worker who works in construction or a cannery ten months of the year and is routinely laid off during the slow season.
The applicant would need to document that the both the employment and the unemployment compensation were regular, reliable, seasonal, and ongoing. year in and year out.

It depends on the lender but assume it isn't. I know that for those trying to complete a loan modification, they will not include unemployment income or short term disability income. Most lenders are looking for a history of employment that would translate into long term income. They are committing to a 30 year loan with you.

Does it make sense to make that commitment on short term income terms? I think you need to show long term income to justify it. Sorry.