The best cure is prevention in this case. Having an incandescent light nearby to turn on when assessing the color and to show during final assessment can give the customer a realistic idea of what the color will look like when ordering, as well as before they take the item home. General Electric's 40,60,or100 watt frosted bulbs are suitable standard bulbs available most anywhere. If a customer insists on an incandescent match, and has no stock color choices, this would be considered a Custom Match and would have to be referred to the Dyeable's custom dye department. Avoid a customer bringing you different brands of shoes.
Different companies use different finish additives on white shoes.
If your customer insists on different fabrics, start a batch large enough to dye all shoes, then formulated to match any Matte Satin before Luxe and Luxe before Satin. After you like the color for Matte then thin it to work for Luxe, then thin it to Satin. Using this technique you alleviate the need to try to get a parallel color balance twice or three times. Judging colors in other light sources will not guarantee a match. This paper is an ongoing work in progress, as questions arise, edits will be made.