Would the Universal D H Work in Baseball?

If a team had the option of having nine hitters and nine fielders, would teams end up having these nine players be completely different? This is basically how it works in the nfl. Of course, we're essentially zero players play both offence and defence. Wod this be the result in baseball? Obviously, if the rule were implemented to morrow, we would not see this happen since there would need to be an adjustment period. But once the rule was entrenched and around for a decade or two, do you think anyone would end up both hitting and fielding? Would any one even be good enough? How many people are genuinely one of the 300 best hitters and 300 best fielders available