Just checked mine - nope, no any movement at all after the plane is fixed securely, just sits very tight and snug. Pay attention whether you put teh plate properly (fitting the metal pin on the other camera base side into the appropriate hole on the base and the pin protrudes though the hole once the plate is secured on the place).
There must not be any movement at all on the base plate once properly attached.
M6, M7 0.85, M3, 35mm 'Cron ASPH, 50mm 'Cron, 90mm Elmarit
My M3 is up for sale...
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We're not famous by strength of our weapon, we're not famous by our courage, we're not known by our smartness, but we are famous by the weakness of our enemies...