I think you nailed it: looks like the old redroot pigweed to me. are the
roots and lower stem on young plants red?
the greens are crisp and tasty when real young. a little older and they need some work.
there was a Korean gentleman who used to spend around 8 hours/day for two or three weeks on end every summer picking pigweed where I used to farm. we had to convince him to pull up the plants after he cut off what he wanted. he was hoping it would grow back. we were not. I was never able to convince him that I wanted to try some, but the impression I got was that he pickled then dried the leaves. he literally filled his car with large plastic bags full of leaves. he was completely surrounded by bags when he left for the day. chain-smoked the whole time, too.
a friend from Cameroon mentioned that folks in a region near hers cooked pigweed like njamma jamma, if that means anything to you. as far as I can tell, everything this friend has ever made for me was entirely new to my palate and very delicious.
goats like it. pigs like it (surprise).
it isn't the same species as grain amaranth, but the seeds might still be worth harvesting. likely not a quick and easy
project.
grows fast, so it can add a lot of organic matter back to the dirt. a substantial portion of that will be in the form of seeds, though.
roundup won't stop it. it's a weed of cultivation. if your father-in-law wants it to go away, he'll have to stop turning or tilling the dirt.
a sharp hoe easily cuts the stem just under the dirt.