From what I learnt, many universities do not sponsor H1B for postdocs and would like their postdoc employee to use OPT and J1. I wonder if there is a quota restriction (but academic H1B is non-cap) or monetary cost for such sponsorship (how much) so that many of them don't want to provide this?
From what I learnt, if there is really something universities have to pay for H1B sponsorship, many international scholars may even be willing to pay it on their end (or deducted from their salary) since the oppotunity of legally working in the U.S. is very important to them. Because of this, I feel like the money shouldn't be an issue.