A) in your example, I'm 99% sure he's talking about letting it chill, and then presumably aerating and pitching.
B) Allowing the yeast to consistently warm rather than ever cooling speeds conditioning, aids reaching full attenuation faster, and reduces the potential for off-flavors. I typically chill a couple degrees below, allow it to free-rise during lag up to fermentation temp, hold it until the airlock slows towards the end of fermentation, and then raise it a couple degrees again. When using English yeasts, I'll combine a rousing of the yeast with that raise in temp.
C) Not only is it thermal mass, but the smaller the differential between wort temp and ambient temp, the longer it's going to take. Same way it works with an immersion chiller. It'll often take longer to get from 80F to 65F than it took you to get from 212F to 80F (at least that's how it is for me). Those last few degrees can take a very long time.