If you go through the new asylum regulation published in federal register it covers this point.
"Additionally, the rule defines new bars and denials for employment authorization, such as for certain criminal behavior; extends the wait time before an asylum applicant can apply for employment authorization from 150 days to 365 calendar days; limits the employment authorization validity period to a maximum of two years; and automatically terminates employment authorization when an applicant’s asylum denial is administratively final."
Let hope this is what it means and they dont end up targeting us but with this admin you never know, but i still highly doubt they will deny h1/l1 just based on non cimt crime, it is technically illegal to do that