But whenever a scan is involved, as they would be those done in commercial labs, some software intervention comes into the question.
One recent case I observed supports this argument. A local lab which still processes negative film ran its machines with a weak or dying bleach. The negative which came out of the machine retained a lot of silver, particularly in the cyan/red bottom layer. The prints, which originated from scans from the negative never showed the dulling effects of retained silver. The reds appeared bright and brilliant, instead of rusty dull as these would when printed optically. The scanner software corrected the flaw.
When these same negatives were scanned at home the resulting photos looked dull and had bluish highlights. Postprocess work corrected this and 'restored' the pictures somewhat. Full correction was only achieved when the negatives were bleached and then, fixed again, to clear the silver. The succeeding scans looked significantly improved.