20-strikeout or 5-homer games seem unlikely just because both white and black baseball back then had less of both strikeouts and homers, and it's hard to say for sure because the Negro Leagues never had the best record-keeping and a lot of the games they did play were exhibition or barnstorming games (often against much lesser quality of competition), which is why there's such huge discrepancies in the recorded stat totals of players like Josh Gibson or Satchel Paige compared to the legends about what they "really" did (Gibson, for instance, supposedly hit at least 800 homers, but only around 200 of them were in official games).
The quality of competition in NLB compared to MLB at the time is hard to measure, exactly, but given that of the 6 leagues that were "officially" major league teams before now, 2 were 19th-century leagues that existed for only one season and a third only existed for two seasons in 1914-1915, and a comparison of stats between the players who played in both those leagues and the NL/AL/AA suggests at least two of those three had vastly lower levels of play while MLB and NLB teams played exhibition games a bunch in the 20's and 30's and generally seemed to be evenly matched, the various Negro Leagues almost certainly are better than at least half the leagues that were, before today, "offcially" Major League Baseball.
The quality of competition in NLB compared to MLB at the time is hard to measure, exactly, but given that of the 6 leagues that were "officially" major league teams before now, 2 were 19th-century leagues that existed for only one season and a third only existed for two seasons in 1914-1915, and a comparison of stats between the players who played in both those leagues and the NL/AL/AA suggests at least two of those three had vastly lower levels of play while MLB and NLB teams played exhibition games a bunch in the 20's and 30's and generally seemed to be evenly matched, the various Negro Leagues almost certainly are better than at least half the leagues that were, before today, "offcially" Major League Baseball.