I was wondering about this because I remember seeing this headline from WaPo "ICE deportations fell in April to lowest monthly level on record, enforcement data shows". Now my assumption was that WaPo was lying, and reading the article now seems to confirm that the headline is misleading. Relevant parts of the article:
The U.S. government has used the order to “expel” roughly 700,000 border-crossers over the past 13 months, but the procedure is not officially recorded as a deportation, which ICE calls “removals.”
Interior arrests by ICE are considered a more reliable gauge of enforcement intensity by the agency. ICE officers have made about 2,500 arrests per month since Biden took office, down from about 6,000 during the final months of Trump’s presidency and an average of over 10,000 per month before the pandemic.
...
U.S. agents took more than 172,000 migrants into custody along the Mexico border in March and detained a similar number in April, according to preliminary figures, the highest since 2001.
In other words, if I understand WaPo correctly, the Biden admin is still deporting huge numbers of border crossers, they just aren't deporting them illegally like nasty man Trump. Also they changed the name so it doesn't count as deportation anymore.