Eating tankmates is a potential problem with virtually any species of fish, if the size discrepancy is great enough. Big fish eat little fish.
So, if you're going to worry about an aquarium-raised bowfin reaching record-book size...you'll also have to forget about keeping peacock bass, arowanas, redtail cats, alligator gar and many other MFK favourites. All of these, and many more, exceed (sometimes by a huge margin!) the measly length and heft of even the largest bowfin. And many of them are much more aggressive, equipped with larger mouths and nastier attitudes to boot.