I'd say the usage is as good a gauge as any in determining what Switch should be categorised as.
This report shows that the split is pretty even with just under 20% using it primarily as a home console, 30% using it primarily as a hendheld (or in tabletop) & the majority using it in both modes.
So saying that it doesn't compete with PS4 & XB is silly as 70% of Switch owners are using it, at least in part, as a home console...
It'll be interesting so see whether those that are being so evangelical about what does and doesn't constitute a 'true home console' are so stringent when the stream-only XB launches (which if successful, will likely be followed by it's PS equivalent) - will those sales not count? Because those systems will have way more in common with a Steam Link than a console...
In which case you'd be arguing that a streaming device is more of a home console than the Switch...
Essay Pro