Would be true if it was a WiFi Router. But I don’t believe in WiFI and Router integration. I run a Ubiquity router with a Linksys Mesh for the WiFi component. As configured, the Linksys won’t route. I’d have to see if there was a way to make the router route through a LAN address as an automatic fallback when the WAN goes down (which there may well be. The Ubiquity stuff has a bunch of features I’ve never had to look at. It’s a very configurable appliance). Otherwise, my Pi solution is less work. 
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