To get modern corn to do this will probably require a lot of breeding to bring together and select for the traits of both varieties.
Maybe this is quite common trait in other plant species and it is just not propagated due to the availability of nitrogen?
I found one source that looks promissing, but I haven't really read it: https://link.springer.com/article/10.1007/s13593-015-0329-7
Would that include rice? That would make it an even bigger deal wouldn't it?
How important is nitrogen fixing in combating desertification and could discoveries like this ultimately help reverse it?
In fact, using Azolla as rice companion plant is a long-standing practice in China: after flooding, rice paddies are seeded with Azolla, it multiplies (very) rapidly covering the surface and suppressing weeds (Azolla mats are very dense so water weeds get little to no sun) then releases nitrogen for the rice plants when it dies and rots.
I'm sure that agro people were working on this problem non-stop for decades.