The temperature he achieved is not high enough to affect the neck, which was been locally annealed at much higher temperatures at the factory. That does not mean it would not affect the head, which has been left in a relatively hard state.
The heads of cases however are however typically annealed after the final draw, at low temperature, to relieve internal stresses. This is usually done at something like 475°F so as to avoid any softening. As long as you stayed below that last annealing temperature your brass should be okay, but that can be a little tricky to assure. Household oven thermostats aren't all that accurate, and if your oven is electric the radiant elements can heat surfaces to higher than the ambient temperature, just as the sun can heat surfaces to melt ice even with the air temperature well below zero.