The M2 Output Stage in Class A/B, and maybe a Power WHAMMY?

This does beg the question; Is ESR the absolute concern for a power amp OPS local decoupling cap? Ie what is the point of placing huge capacity/ ave ESR caps on the board (Wurth 10,000uF, etc).

To my mind the larger metal cans will pick up more radiated noise from the transformer. Just trying to understand what people were thinking here.