No. The conversion triggers taxable income (the full amount of what’s in the traditional IRA if no nondeductible contributions were ever made). But the mere fact that the original contributions were based on earned income does not make the conversion income into earned income.
A capital loss that is not deductible because it exceeds the annual $3,000 capital loss ceiling. A carryover loss may be deducted from capital gains of later years plus up to $3,000 of ordinary income.