This idea has been proposed before, and the BB team is well aware of it.
At this point in time, there is no reimbursement for NT players, but players also cannot get injured in NT games (for more than "until the end of game"). Both of these will likely change at the same time, though I don't know if there are immediate plans for this right now.
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."