"Baker's pick"

Okay, I don't want to belabor this point, but I keep seeing this said, so I'm going to stick this here:

The notion that Jeff Riley was Governor Baker's pick misses how Riley became receiver in Lawrence.
He was appointed by the late Commissioner Mitchell Chester in January of 2012

• when the Governor was Deval Patrick
• when the Secretary was Paul Reville
• under a law that was passed by two Democratically controlled houses and signed by a Democratic Governor
• under a board of which no member is currently still serving