If you're being pragmatic about it, you might as well save your time and get rejected from these kinds of companies earlier on in the process, rather than get all the way to the end before having to move on.
The end result is the same.
I believe that, aside from specialized fields like bank tellers or people working with children, access to conviction history should be severely restricted - the only point of such info is to facilitate discrimination.
In theory, the debt to society is repaid when the individual exits the penitentiary. In practice, the punishment continues on an ad-hoc, deregulated fashion from private individuals against the most vulnerable segment of the ex-felonry: those with meager material means and education, limited family support and in most desperate need to secure lawful employment. This extended and unequal punishment is a clear violation of the equality before law all citizens should enjoy, that should punish similar acts to the same degree.
It would be a great progress from the current status quo, that basically denies them most jobs, even those where the higher than average recidivism risk of ex-felons is immaterial. I would see it as a practical political compromise.
The amount of political capital required to undo that law and make criminal histories effectively private would probably be too much, so you do the political compromise and exempt some categories.