To go to your first example if you ordered Phal. Hilo Lip you should not be shipped a cross. That is inexcusable conduct from a vendor.
When you order a cross you should never expect the plant to look exactly like the photo. Here is a tutorial on color variations on one seed pod of a Cattleya that produced 7 different colors. We have had additional colors out of subsequent crops.
Color variations in seed grown orchids
Just like when two humans have children they do not look the same. Some do not even look like the same family.
Even with clones the colors will not be consistent. 80-85% will look about the same but the others will be different intensity of color, flower size and shape. Then you may have clonal 'sports' that look like a different orchid completely.
Secondly most plants sold are first flowering. The plant will usually look different in its second and third year. The photos you see on the INTERNET are often champion plants many of which may be 10-15 years old selected out of thousands that were produced.
Third even the same plant can look different from one year to the next. The size and color of the flower will depend on temperatures that year, the number of flowers produced, the consistency of water and fertilizer for the year. I have seen plants awarded an AM/AOS award that I would not even want to buy the next year.