I think what you might be noticing is that people who grew up with negative relationships with their parents tend to not be well-adjusted and are more likely to have unhealthy relationships later on life. In this case ESEs tend to be naturally maternal whereas LIEs and LSEs are not the most nurturing types (especially to someone with Te polr) so I can see how that could cause damage for an IEI. But I don't think being abusive is type related because anyone can grow up troubled depending on their circumstances.