When I started reading this it seemed like “internet” and WiFi were being conflated, for example on our neighbourhood WhatsApp group there are often people asking “Is anyone else’s WiFi down?”, when what they should ideally be asking is if anyone else’s (fibre) internet is down. In such cases I internally frown a little, but leave it there.
Anyway, for the situation in this link, they actually have a WiFi bridge from their house to their office which has the connection to an ISP, so it is absolutely accurate to say the WiFi was down in this case.