Do inbound WebSocket connections count towards the per-worker simultaneous open connections limit?

I’m finding conflicting information pointing both ways:

I’m particularly interested in the answer with relation to durable object workers. This is related to the workaround I’m scoping out for Suggestion: WebSocket gateway.

Separately, do the underlying OS resources (probably around 10 KiB or so for each WebSocket connection) also count towards memory usage? I’m assuming so, but I wanted to check first since everything seems to talk about V8 isolates, heaps, and so on.