Those queues operate purely head-of-queue basis. If what is at the top of the queue 0 is blocked in any way, the whole queue behind it gets stuck, regardless of if it is talking to the same destination, or a completely different one.
I've seen situations where a glitching network card caused some serious knock on impacts across a whole cluster, because the card would hang or packets would drop, and that would end up blocking the qdisc on a completely healthy host that was in the middle of talking to it, which would have impacts on any other host that happened to be talking to that healthy host. A tiny glitch caused much wider impacts than you'd expect.
The same kind of effect would happen from a VM that went through live migration. The tiny, brief pause would cause a spike of latency all over the place.
There are classful alternatives like fq_codel that can be used, that can mitigate some fo this, but you do have to pay a small amount of processing overhead on every packet, because now you have a queuing discipline that actually needs to track some semblance of state.