The most interesting thing was Layden's reference to my studios rather than Sony's.

Means this for PC....?

"my collection of studios"

Kinda creepy imo...

Key words are: “my studios” and “some”

The rest of speculation is just rubbish

P.D: what is the switch has to do with this?

So he's saying that every single AAA game will stay exclusive forever while small games that don't sell consoles will be benevolently allowed to be on other platforms. What a generous god he is.

What sony first party game could possibly run on the switch?

How many multiplayer only games have Sony made?

Also I bet they mean PC.... when they say it might go to other platforms.
Doubt Sony will put their games on xbox or switch.

Without exclusives, the whole thing would be just about the big three peddling their hardware. What would that look like?

For multiplayer only titles it doesn't make much sense to keep exclusive. Something like drawn to death for example.

You know considering you've not thought about this post when making it, without even going into how any game would run on the switch with effort and porting skills (Doom, Wolfenstein and Witcher 3) what you've forgotten to add in this post is the words "current gen" or "ps4" without those words the list of first party Sony games which could run on the switch is massive around 100 + titles all of which would need zero cut backs. 

I'd say the switch could run the entire Sony first party PS1 library at the same time without sweating too much.