Chill in primary before rack to secondary?

My Alt is about ready to go into secondary. I was going to do the secondary for about two weeks at 40 degrees. I was thinking I'd bring down the temp in the primary than rack it over to my secondary. I'm just thinking any little floaters would do better at 63 than 40 degrees. Does it matter or am I just looking for things to worry about?
If this matters, it is an Alt only because of the German malt(1/2 the bill is Munich) and hops. The yeast is US05 and 1/2 the malt bill is Maris Otter

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It can't hurt. So long as the terminal gravity has been reached, crashing in primary will start the process of flocculation which will finish in the secondary. You can achieve brilliant clarity by fining in secondary, too.

Cheers,

Bob