Parent is down voted but mostly right. Thousands of plant species are invasive and even dangerous for house foundation: japanese knotweed, running bamboo, kudzu, mare's tail. They're almost impossible to get rid of. Even unchecked wisteria can lift foundations and crack a house's walls. Animals can be even worse: carpet beetles coming from disturbed bird nests can easily infest your wardrobe, same for the many species of clothes moths. It's very hard to get rid of them without ripping up your carpet and putting all your stuff into sealed bags for years. Wasps and bees are minor threats, but they can still be a nuisance if they decide to nest in your wall, or in your chimney, or in your loft. Biodiversity is good until you keep an eye on it. If left to itself, it almost always tends to do damage.
Your statement isn't really about biodiversity, unless your solution to all potentially problem species is "eliminate them". Everything you mention is solved by building appropriately, building well and maintenance. Water drainage, grading and envelope solves the vast majority of the problems you mention and the far more common & mundane ones, and the irony is that a bio-diverse yard handles the dynamic changes far better than a perfectly manicured lawn.
Japanese knotweed, to make an example, is not solved by drainage or building appropriately. If you get it, you have to call a specialist for a 4 year treatment and you have to wait 8 years to be free of it until you can legally avoid to disclose it when you sell, at least in UK. I'm not advocating for manicured lawn, I'm saying that biodiversity for the sake of biodiversity is dangerous.
It's also a rare problem, so not really a reason to screw over biodiversity in general.
We don't ban restaurants just because sometimes someone gets food poisoning. We just take action when a specific restaurant isn't able or willing to follow food safety rules.
