My wife (from India with B1/B2) and my brother's wife (with ESTA) visited the US multiple times each during their consular processing in 2022.
I think a parent would actually be less worrisome to CBP. Less chance of working illegally since they are older. More ties to the home country.
You can both make Advance Directives listing each other as health care agents. Your local hospital chain probably has a form to make it easy for you and will file it for y'all with the national registry.
My wife got an email "We have taken an action on your case." but when she logs into myUSCIS, there's no update and no new document under "Documents." Is this a glitch or how long does it take to get an update on myUSCIS?
What about a Returning Resident Visa?
https://travel.state.gov/content/travel/en/us-visas/immigrate/returning-resident.html#1
https://in.usembassy.gov/visas/immigrant-visas/returning-resident-visa/
There was a Jan. 2025 filer who got approved on Feb. 28th. National Benefits Center. They didn't clarify if they were military or not. If not military, then that's crazy fast.