This battle is the equivalent of Thesz vs. Misawa in the men's tournament. One has a claim to best ever as being the undisputed lead pioneer for the sport. The other has a claim to best ever as being the clear number one competitor in the history of Japan, dominating during the best period for Japanese wrestling and forever altering the future of the sport. Yes there is no argument that Burke(like Thesz) changed the history and set the groundwork for how wrestling would be performed. But I'd argue that Toyota(like Misawa) was at the forefront of a period of Japanese wrestling that set the groundwork for a shift in how wrestling matches are worked worldwide and have also forever effected how pro wrestling was executed going forward.
I choose Toyota here(just as I would choose Misawa over Thesz everytime). Its a matter of progression of the sport. Both reached the highest heights possible for their time period, it just so happens that Manami came around in a modern era where professional wrestling is a different animal entirely, and she is the most gifted and talented woman to ever do it, all while incorporating a brand of athleticism that would have been considered witchcraft in Burke's day. Her speed, stamina, and fluidity are legendary and her strength for her size is awe-inspiring.
Toyota has more classic matches than every non-Japanese woman in the history of wrestling combined.
Want a reason to vote Toyota and really push her through to what should be at least a final four run? Chew on this:
In 1995 The Wrestling Observer named Manami Toyota as the Most Oustanding Wrestler of the year- PERIOD. Not best Women's wrestler. Best goddamn wrestler on the entire fucking planet regardless of gender, and in a period where workrate was at the highest it had maybe ever been.
Respect Burke for making the glory days of the Joshi possible. But vote Toyota as she is maybe the greatest to ever lace them up, Burke was not.