We have bluebird houses and can confirm. One box full of pecked-to-death bluebirds with house sparrow eggs on top of them is quite enough. I call the males "bearded bastards."
Odd that this list considers Cattle Egrets as invasive, I have never heard that before. They came here naturally just fairly recently. Their range expanded due to human activity but, rather interestingly, it was because they had more available food sources rather than physically being moved by people. They eat parasites off cattle so as cattle farming expanded so did their range.
Herons are already capable of traversing entire continents, as can be seen with Night Herons. Cattle Egrets just didn’t really have a reason to expand until recently.
Honestly, they are cute, I like having them around, but we've got some feeders, and if there are house sparrows, there are no other birds. We've been tweaking the feed we use and the form factor of the feeders to keep them away. Since we switched to nyjer, they've generally left the feeder alone, and we get finches instead.