It had nothing to do with tax rates and everything to do with wage "controls" (i.e. caps) during WWII.
Employers were not allowed _by law_ to pay their employees competitive wages, so they offered benefits which weren't restricted.
Even after the war, this was still a benefit to employers: the cost of benefits paid by the employers could be deducted from their taxes, but employees didn't have to pay taxes on it (unlike wages), so it was more efficient; also, changing jobs meant changing health insurance plans, which complicated job switching for employees.
(BTW, the supposed "high tax rates" were paid by almost no one, in part because they only applied to the highest tax brackets but also because of numerous tax deductions.)