The June 2020 signed executive order applies to all H4 visa holders, who are outside of US and do not have a valid H4 Visa stamp in their passport now.
It applies to all H4 holders, including spouses and children.
The executive order quotes this as “any alien accompanying or following to join such alien”.
This ban is applicable until Dec 31st, 2020.
The EO will NOT impact any H4 holder currently in the US with their spouse.
It does not impact them from applying H4 EAD and working in the US, if they are eligible.
H4 holders are free to apply for extensions or Change of status as needed, including EADs (if eligible).