Work expenses paid for by an employee are typically tax deductible. This wouldn't be anything new. The expenses paid for by an employer are also tax deductible. This would also not be anything new. The idea isn't that the "cost" is borne by the taxpayer, it is that the employee/employer shouldn't pay a tax on the money they used to produce the income.
The upthread proposal was "I think it should be done as a tax credit for the employee or the company instead."
That's a proposal to have the cost be borne directly by the taxpayers (a tax credit), not a mere reduction of profit via a valid business expense (a tax deduction).
> The expenses paid for by an employer are also tax deductible
This is no longer true, at least with regards to employee salaries, but maybe other expenses related to their employment are still deductible. Since the headline calls this a "reimbursement" I would imagine it would be