I once heard a lecture on the day of Radhastami, in Eugene Oregon ( usa) in which the speaker presented his own argument that none of Lord Shree Krshnas friends or relatives ever considered the need to make a representative object depicting the looks of Krishna. I could only assume that what he had meant was that nobody would ever consider that Lord Shree Krishnas pastimes on earth would ever come to an end, and that in fact, they are perpetually being recreated exactly as in Goloka Dam for all time to come in order so we could have a "fresh" picture of Krishna in our minds.
This is tries to explain also as to why there are so many varieties of images of Govinda, Gopinatha, and Gopala throughout much of India today, as vastly depicted of many persons of Royal charge have had carvings made up of either jewels, marbles, or paintings, most of which shows Krishna as Krishnaa ( blackish ).
Jugg
Radhe Shyama