Yes. Backwards compatibility isn't ride or die, but it's really convenient.
Sony set the standard for home console backwards compatibility with the PS2. I know some other consoles had done it in the past, but they weren't as major (Atari 7800) or required an adapter (Sega Mega Drive/Genesis). And of course the Game Boy Color set the stage for portable consoles.
For the Eighth Gen, the Wii U supported all Wii games. The Xbox One introduced limited backwards compatibility with the Xbox and Xbox 360 from 2015 onward. And Sony famously has no backwards compatibility on the PS4. And the PS3 started with PS1 and PS2 BC, but then widdled down to PS1 only for most models.
If the Switch's successor (which I would consider Tenth Gen) uses cartridges again (and I bet it will), it really should be backwards compatible.
Lifetime Sales Predictions
Switch: 151 million (was 73, then 96, then 113 million, then 125 million, then 144 million)
PS5: 115 million (was 105 million) Xbox Series S/X: 57 million (was 60 million, then 67 million)
PS4: 120 mil (was 100 then 130 million, then 122 million) Xbox One: 51 mil (was 50 then 55 mil)
3DS: 75.5 mil (was 73, then 77 million)
"Let go your earthly tether, enter the void, empty and become wind." - Guru Laghima
