I hate the term "chopper".

I use a chopper when I want to smash up firewood or destroy something in the garden. For finely cutting picture frame moulding I prefer a mitring guillotine, preferably a Morso but there are several other makes which also do a pretty good job. It is very rare that a manual guillotine will cut out of square and/or need any adjustments.
Like all tools, though, there are still ways to get a lousy cut and I will list a few now:
1) Blunt blades:
The most important part of the blade is the very tip because this part does more work than the rest. Test the edge with your finger towards the back of the blade then test the tip. If you can feel the difference, change the blades. Next, try cutting a wide, fairly hard moulding, holding the stick with your left hand. If the blade is blunt you will feel the wood kick back against your hand and, if you then move it back against the blade to check the angle of the cut you will see a tiny gap at the inner edge. This gap only has to be small to be a problem because it is multiplied by 8 mitres.
2) Poor cutting technique:
One reason I hate the term "chopper" is that it implies chomping through the wood in one bite. Do this and you will get lousy corners every time. A guillotine nibbles through the wood in small bites and the last cut should be little more than a fine shaving. If you follow this method your cut end should be smooth enough without any sanding.
3) Hard compo moulding:
These days there are too many mouldings armoured with up to 2mm of rock-hard concrete. These cannot be cut in a guillotine. You will get gappy corners and ruin your blades in no time flat.
If all these factors check out I would definitely look at the vices you are using.

Good luck.