It shouldn't matter.

For hub axles, there may be more threads on the right side of the rear.

For bottom brackets, the right side of the spindle may stick out more (longer from bearings to right).

Do you know what "type" of bottom bracket you have?

French? English? Italian? Swiss? ISO?

French and Italian have right hand threads on both sides. I think this normally has the "fixed" cup on the right (drive side).

I've used Purple Locktite during assembly in the past.