H4 EAD autoextension - Approval date and I-94 date

Hello My current H4 approval and H4 EAD approval date is 04/19/2021-05/26/2021.
However my form I-94 below the H4 notice states the date 04/19/2021-06/05/2021.

I informed my current employer that based on the H4 autoextension I can work till 06/05/2021.

Please advise if this is valid.

Yes, if you already filed for H4/EAD extension.