not a crime to seek asylum https://www.rescue.org/article/it-legal-cross-us-border-seek-asylum
It is a crime to commit fraud, such as by fraudulently claiming asylum to get access to dem sweet, sweet gibs.
Certainly not a generally disqualifying problem. Only have had a handful of prosecutions for fraud and the sides play the statistics like an accordion. https://cis.org/Report/Fraud-Credible-Fear-Process
(post is archived)