It is indeed a semantic battle. But as for semantics: sorry, that's just wrong. A switch connects the same network transparently. A device doesn't need to know that there is a switch in place to find, say, 188.8.131.52. It just ARPs for the destination address and sends the packet. If you are connected to a wifi router, you must send a packet destined for 184.108.40.206 to the router, because it is your gateway.
I think we agree, but looking back my sentences are ambiguous. I slashed a lot of content out and lost the transitions. I meant that is the definition of a switch (not a router) and that a router does the following things, not that a switch is a router.