i have never heard of this and nothing i've read has indicated this; it's always been tech companies large fortune 500's. I did some googling and am not finding anything to support this claim, either. If you've got sources i'd love to see them.
You should look up 'cap-exempt H1B'. Many postdoctoral researchers, research staff, and doctors use the H1B program.
This doesn’t appear to apply to people on cap-exempt H1-Bs.
All cap-exempt institutions that I know of are treating it as if it does. There has been no clarification as of yet.