Certainly agree doing a rad of and manual flush can be as effective as a powerflush and it can certainly be an option. Unfortunately it isn't an option all the time and a proper powerflush, one where the tub is individually connected to each rad or series of close run rads, can be highly effective, purely down to the pressure and flow the pump in the tub can generate, that with agitating the rads and flow in both directions. It can also be a lot less intrusive and a loss less messy than dumping a load of black crud into the clients back garden.
Cleaner just gets things into solution and helps loosen everything up, it's the pumped fwd/reverse flow and agitation that moves the crap up and out.
All in all a powerflush, IME, is an effective tool in the arsenal, where and when it's needed and appropriate.
In the OP's circumstances, with a somewhat convoluted layout like that is, a powerflush isn't that bad idea, it just wasn't performed the way it should have been, in fact it seems it wasn't even half of the job that it needed to be. It would never ever work only being run from the garden into the system just from the boiler location.