Hi Theodore, here is my 'fred flintstone' reply on 'producing albinos', I am no botanist or geneticist but I hope I can explain some basics.
ALBINO SPECIES
Albino forms are occuring spontanious. Very rarely offspring has defective genes. When this defect happens on the genes responsible for producing the red pigment, the plant cannot produce red pigment and becomes an ALBINO. Depending on the full color form, the loss of red can result in flower being yellow, green, white or combinations. Only the full white flowers are entitled to be called ALBUM forms (and never alba in our genus Paphiopedilum, but that is another story).
This happening is always very rare: maybe 1 in 10.000 or 1 in 50.000 or maybe even less. Even then that plant could have also other genes defects and as result will be much weaker than it's full color siblings. Even when it does matures and flowers, the next problem is that maybe pollinators don't recognize the flower anymore and it cannot reproduce in nature. Most known albinos were found in wild collected plants, but I know of albinos occuring in lab propagated offspring. Once you have an albino species and you can self it, your offspring will be albino. Sometimes a weak growing albino that is too weak to be selfed, gets crossed with better growing full color. Their offspring COULD get the albino genes from one parent and the better growing genes from the other parent. But this offspring will also have full color offspring. In summary, Finding a new albino form of a species will remain a very rare occurance.
ALBINO HYBRIDS
Once an albino exists of one of the parents, crossing them can have a theoretical up to 50% chance that the offspring is getting the defective genes and will be albino as well. Producing an albino hybrid when you have albino of one or both parents is a matter of time and a few generations (and a LOT of patience).
DISCLAIMER
As stated, this is a very simplified summary, not covering all exceptions and all rules. For example there are multiple steps in producing red pigment that could each be working or defective. There are more than 80 different red pigments present in flowers and sometimes not all are defective, so minimal red pigment remains (like very faint red in fairrieanum flag or red villi on villosum petals or red warts on venustum petals). Also there no guarantuee that when you cross two albinos with each other that the offspring is albino. When they were each defective in another step to produce the red pigment, they could "fix" each other and offspring will be full color.
I hope my short reply brings a bit of light in the darkness and encourage you to deep dive much further into the matter.