The OP specifies only "criminal record", which may include both misdemeanors and felonies, with varying degrees of each.
Some employers care about any criminal record at all, while others care about felony convictions only. The website itself only mentions "criminal record" and "formerly incarcerated".
Perhaps it would be prudent to make filtering easy for "misdemeanors only" jobs and "former felons wanted" jobs?
Many employers make a distinction between felony and misdemeanor convictions. I encourage more dissection than that.
Anecdote:
I once stood in front of a Judge who had recently gotten so drunk-->Then decided to drive-->he fell asleep in the middle of a busy intersection (misdemeanor dismissed, "improperly calibrated" portable BAC).
I was represented by an attorney who was on probation for a misdemeanor at the time of my sentencing(obstruction of justice, helping facilitate the attempted payment of hush money to a rape victim).
It made my 1.5Lb sale of marijuana (felony) not seem so harmful.
