Altering pump speed AFTER balancing can throw the balance.
Can, yes, but that is exactly what you would be looking to observe after having done so. If you balance the system to achieve the same drop across all radiators then the pump speed can be then be lowered in order to bring these drops closer to the target required by the boiler. If the pump speed is too low then it will indeed affect the balance - you then have no choice but to return it to where it was as that is what the system requires.
If you want to use a lower pumpsetting, you should do that BEFORE starting the balance procedure.
The problem with that is that you may end up with insufficient flow to the 'furthest' radiator thus never be able to bring that within balance.
Again, horses for courses to achieve the same end goal. We evidently approach this differently but as we presumably both get to the same end point with a balanced system then I'm not sure what else there is to say.
Mathew