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I mean, if removing a block caused a collapse, then it was integral, but perhaps you don't quite understand how integrity works in 7dtd. At the very bottom of the flat earth that is navezgane, there is bedrock, like minecraft. Everything for structural integrity is based off of this. Vertical support is infinite, however horizontal support is not. Every block has a load value, depending on its material, and every block has a mass. For structural integrity, the block who's load is generally in question is the one that has a straight line connection down to bedrock.
Lets say you make a room, 10x10. You then put a roof on it. You want to make a second story, so you put a column in the center on top of the "roof", then start to build out a new roof from that column. What happens is structural integrity creates a big Z going from bedrock, up through the ground, picks the most stable column of blocks in a wall, then traces through the first roof, then up the column, then over the new roof you're building out. That very first column of the wall has to support the 5 horizontal blocks of the first roof, vertical column doesn't matter, but then as you're building the second floor, it has to support more horizontal weight. Can't and collapses. The same thing when you're removing blocks, it may seem like there's other "better" supports, however, those other supports on that level were actually too far away from connections going straight down to bedrock.
This is why you should never mine under anywhere you plan to build. You can suddenly be missing direct to bedrock lines for your supports. I may not be doing the best to explain. https://7daystodie.fandom.com/wiki/Structural_Integrity has some good info, and while numbers may be outdated, all the theories are still applied.