A high strikeout total accompanied with low BABIP is definitely bad.
But a player who strikes out a lot, but who also hits a lot of frozen ropes all over the field (and over the fences), and therefore has a high BABIP, would still be a productive player. I'm not sure there's a real player who fits this hypothetical profile, however.
The universe is the practical joke of the General at the expense of the Particular, quoth Frater Perdurabo, and laughed. The disciples nearest him wept, seeing the Universal Sorrow. Others laughed, seeing the Universal Joke. Others wept. Others laughed. Others wept because they couldn't see the Joke, and others laughed lest they should be thought not to see the Joke. But though FRATER laughed openly, he wept secretly; and really he neither laughed nor wept. Nor did he mean what he said.