Yes, sorry forgot to mention that the Scots did later advance.

However I don't believe that Scots deployed a circular schiltron at Falkirk, because it would make no sense. At Stirling the used regular retangular or square formation, but they were in attack really. At Falkirk a I doubt a circular formation would be employed due to the need for a strong defensive array. But again this is debateable

Just one last thing, Schiltron is often solely attributed as Wallace's creation, whereas people forget about Andrew de Moray, who was an equally brilliant soldier and leader(if not greater than Wallace himself). His guerilla war and minor campaigns against the English in Northern Scotland are pretty impressive. So no doubt de Moray would have largely contributed to the creation of the Schiltron