Is it permissible for the husband to take a portion of his working wife’s salary or her unemployment benefits, in exchange for the husband being deprived of some government benefits, analogously to the permissibility of taking in exchange for the husband being deprived of some of his rights?

The wife's maintenance is obligatory upon the husband, and her money is her own. She is not obliged to spend from it on the household unless it is with her willing consent. The husband has a right to her money if he stipulated that as a condition for allowing her to work; otherwise, he does not. Regarding the husband's entitlement to a portion of the wife's income due to his deprivation of government assistance, this depends on the condition set by the granting authority. The husband does not have the right to seize his wife's money simply because he was deprived of something he would have been entitled to were it not for her income.