The photos are a great help in understanding how wires are used. I can see how well it would work for large-scale commercial hybridizers when only one pollen parent is being used on a section of the nursery with one cultivar in it.
After trying many different systems that hybridizers use, I now track crosses with a really simple method that is easy and inexpensive for smaller-scale work, so that I don't need a system or lots of combinations to identify crosses. To keep track of individually chosen crosses for each bloom, a sharpie-type pen with retractable fine-point has never faded, run, fallen off, or been eaten even with thee months of high temps, daily watering with strong shower-setting, high winds, or the endless march of snails and other critters. The retractable tip makes it easy to carry without it drying out or staining clothes.
The marker is used to record an abbreviation of the pod and pollen parents names on 1/4-inch green or blue painter's or masking tape (chosen to blend with the greenery and easily go on and off the plant, while staying securely fastened meanwhile, so painter's tape works best). Using the first three or four letters of each word in the registered name, or just initials for longer names, has been enough to ID each of them without confusion, at least with my few 200 cultivars. The tape is torn off the roll and either threaded between buds and secured on the short stem just below the flower to be pollinated, or attached to the scape just below the bud if the flowers are crowded.
When buds ripen one-by-one for picking, the tape comes with them, transferred directly onto the pod. It is then re-used again to identify whatever container they are put in for drying and later storing in the refrigerator. The cost for a summer of hybridizing is about $5 total for pen and tape, and both are sold at craft and online stores.
Mixed cultivars garden, Single scape, and Many seed pod crosses