I'm very sorry that happened to you.
I must respectfully disagree, I've always used hot water. I've owned carboys since the late 90s. The quality varies, and I have mostly had the ribbed Italian glass style but a couple from Mexico. I've seen bottles separate from the bottom like that, bottle bombs. Carboys, I've had a couple break along that bottom seam, various lengths but from some force applied. I've seen bubbles in a carboy, yours could have been defective, took a hit, been put down too hard. My final rinse always uses hot water. I have a bottle sprayer permanently mounted on my sink to a second faucet. Further, they all have handles, which I stopped carrying them full using the handle quite some time ago, but the handles are much safer than handling without when washing. One hand on the handle, the other arm around the carboy, bottom corner resting on my shoulder about 125-130F rinse. I could feel the glass get hot. I never rinse using the carboy washer, but it would start out with hot water.
As far as soaking with PBW, I've done that overnight and sometimes the krausen ring is just too stubborn. Sometimes a small cloudy patch on the bottom or somewhere on the sides. Even with my carboy washer sometimes I'd need the brush. It's glass, you can check it carefully to see if something was missed. I'm also pretty good about a quick rinse after racking, but that's because once in a while I didn't and they are harder to clean if left to dry out.
I never did get around to buying the flapper brush. Seems like a good tool.