They aren't "mutually exclusive". If your voters have been packed into a district, making your seat more secure, then you are a victim of gerrymandering. It's not simply an alternative type of gerrymandering.
The misunderstanding of who stands to benefit from redistricting has allowed republicans to propagate a narrative that "democrats do it too". In 2012, despite Republican house candidates receiving less of the popular vote they walked away with an extra 30 seats[1]. That's not a bipartisan effect.
[1] https://en.wikipedia.org/wiki/United_States_House_of_Represe...