ВЭФ 12 (Astrad VEF 12 Project) - including a transistor tutorial

[Nowhere-Man]

Yes, that is indeed the case. What I refer to is the signal. Let me clarify my point: We have the centre tapped coil with the cathode at the tap. Each end of the transformer alternates + and -. Let's say a positive signal hits the grid (negative goes to anode, because each end of the coil is fixed to grid and anode). On the positive pulse, electron flow surges and the higher milliamp value times the circuit load reactance (or resistance) causes a larger drop on the load. So the anode cathode voltage drops. As you said, the grid cathode voltage rose so the voltages are out of phase. Here we agree and there's no confusion. My point is simply that the AC signal voltages are in phase with those drops. For example, as the anode cathode voltage drops, the signal phase to the anode will be - as the grid signal was +.
This extra part may or may not be of significance. The book doesn't mention the signal phase much.
Just to clarify to anyone confused. If a triode has a signal between grid and cathode, the bias on the grid will decrease or increase with the alternating signal. If current rises, the milliamp value is higher so multiplied by the anode load resistor drops more voltage across the load (leaving less voltage between anode and cathode). A - grid signal decreases current so less is dropped on the load and the anode cathode voltage rises. I bet if the load resistor was a bulb, the bright flashes would tell you its voltage got higher.
Always best to check I got this correct - hopefully so.