I tend to think of all these theories as bunk because they never go more than two generations back and break down as a result. Would Grover Cleveland really work as a disruptor to an era of GOP dominance that went back a quarter century, for example?
The thinking where politics seems to have started with FDR leads to a lot of myopia. It's this weird sort of Greatest Generation onward solipsism that history began with World War II/the Depression and there's nothing worth looking at further back, but that means you're dealing with a sample size of 13 presidents and 22 elections (assuming we're starting from 1932), and you cannot possibly make any serious trend argument with such a small sample size.
Skowronek’s theory tracks back way more than two generations. His first article where he begins to develop the theory (published in the early ‘80s) is confined to the parellels between the 1824-1860 and 1928-1980 periods. His book The Politics Presidents make, published in the 90’s, explains how almost every major president from Washington to Clinton fits into the pattern.