Some species are more prone than others.
Also, as part of the growth cycle shedding lower limbs is common.
Some of the SA court articles showed with the Red River Gums that SLD was repetative for certain trees, chances were if no previous sign of it then it wouldn't happen. Flaw in theory is every tree which had SLD history never did till the first one.
General public perception is not near the house and dont camp under one!
Often, and I mean a lot, people ring and want assurity as to how safe their gum tree is. You get there and there's a 100' gum over the house, nothing really wrong with it, how safe is it?
No matter how safe it is you can make it safer by some intelligent pruning and soil care ... avoid fertilizing as I believe growth on a euc is your enemy. Yeah, I'm way out there with this, just good soil conditions and mulch. Take our eucs to good soil places and wetter like UK or Cali and see what happens, they grow even bigger!
Eucs are open canopied, at times (like right now here) their branches can be over abundant with dense leaves and flowers ... even dropping and hanging, very heavy. That is on the end of natural lions tailed branches.
Bit of wind, bit of dry, bit of shade etc and you get a limb on the roof/car etc.
So, each tree within it's own right will have it's own issues depending on it's environment, but overall, people dont like them near houses.
Personally, neither do I when they are big. The one I recently pruned I'm happy with, it could get 50% larger and I'd still be happy, but if a new estate was built and they saved some 100' grey gum next to my house or a euc Grandis ... no friggin way!