I539 - H4 COS vs L2 extension

I am currently on L1B visa, which is up for renewal in Aug 2022. I also have an approved H1b and an approved i140. My spouse is on L2 and is working on L2 EAD. Considering the time (> 10months ) for processing i539s, I am wondering if I should go apply for a change of status to H1 for me, H4 and H4-EAD for my spouse - where they are effective from the last day of my current L1B visa. Would this be a better option for my wife’s continued employment, considering I can file this right away compared to my L1 extension, for which I can only apply in March 2022.

H4 and EAD may or may not approve as per your plan but it does look like a good strategy.