H4EAD extension delayed and non-profit H1-B processing

Hi,
I’m currently on H4EAD which is going to expire by March 13, 2021.
I have applied for the extension in May 2020 (H4) and Sep 2020(EAD), but haven’t approved yet.
As I currently work for a non-profit organization, my employer is planning to process H1-B(cap-exempt).

What happens to my status once I received my H4EAD ?
Can I transfer from H1-B to H4EAD ?