Staying outside of US doesnt qualify for being a dependent of principal applicant as there is no necessity for it(since principal and/or dependent stays outside of US).
So it will be problem to cross border on H4 as a daily/frequent commute(irrelevant of H4 trying to work or not).
We cannot have everything - Canadian GC, H4 EAD, Second Income etc etc.
Some might argue on this eligibility of H4EAD and might give example of some travelled few times but its you who is going to risk all of it and jeopardize the entry into US. Not every officer will be willing to allow H4 on this situation.
Trying to make use of H4EAD shouldnt come at the cost of getting banned for years which gives greater effect than giving up on some income for few years.
Its up to you. Consult lawyer and decide, not just based on some forum members brave posts. Its you who encounter border officer who is going to admit H4 based on the law he/she knows/interprets.
I would never risk which is my opinion.
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Definition: H-4 status allows dependents to travel to the United States to accompany or reunite with the primary visa holder.
Who qualifies for an H4 EAD?
To be eligible for an H-4 EAD, an individual must meet the following criteria:
- Be the spouse of an H-1B nonimmigrant who is the principal beneficiary of an approved Form I-140 (immigrant petition for alien worker) ;
- Be in H-4 nonimmigrant status; and
- Not have any other work authorization in the US