Everthing in that amp runs around in a circle. There are exceptions, but a component in circuit is affected by all other components in that circuit. Some components we can test in circuit, because the effect of the other componenets do not have an affect on it, or the affection is to small to to matter.
You were not wrong about the supply. In order to be able to communicate effectively we have to talk apples to apples. No biggie, just terminology. The transformer is a part of the power supply, but not the only component of the supply.....