It was not their intent to "arrive on the Cape". Their intended destination was farther south. The arrival a Plymouth was due to the vagaries of nature and navigation.
My ancestors arrived in the second wave (1630), and they didn't fare much better, making landfall in a swamp and at a goodly distance from the original landfall, and being dumped ashore by their vessel. They had to be "rescued" by later ships in the flotilla.
Hey...my relatives came in the next wave also, 1630’s...landed in what was then kennybunkport, now kennybunk ME.