Mixed brass should not be a problem for neck sizing. As others already said, generally, you neck size cases for one particular rifle, after those cases have been fired in that rifle. Problems that do occur will be with cases significantly different in wall thickness from others. If you have two different rifles with chambers that are very very close to each other (virtually the same).....it is possible to share neck sized cases between them. I do this, as a matter of fact, with a bolt gun I have, as well as an AR. Defies conventional practice.....but it works in this circumstance.
The two chambers in question (on my rifles) happen to be as close to identical as I can measure.....well less than 0.001" in any dimension. Carefully measured chamber casts of each proved this. The shared brass works perfectly in both rifles, so far. But, I am vigilant in keeping an eye out for cases that might not fit both.
If neck sizing mixed brass for only one rifle, your chances of problems are much smaller. All of my .223 brass, for example, is VERY mixed. Lots and lots of different brands. Lots of military spec brass, in addition to commercial stuff. All of it seems to work just fine.