networking – How many hosts are typically connected to a router?

Here is an excerpt from James Kurose’s book “Computer Networking”.

(…) Switches suffice for these small networks, as they localize traffic and increase aggregate throughput without requiring any configuration of IP addresses. But larger networks consisting of thousands of hosts typically include routers within the network (in addition to switches). (…)

So the thing my laptop is connected to right now, over a wireless connection, we call a “router” where I come from. Almost everyone has one at home here in Switzerland and a typical household consists of roughly 5 people or less. So about 5 people are connected to this router, which absolutely disagrees with the above statement. Is it simply wrong to call that thing that provides WLAN a “router” or what am I misunderstanding?