Do Reform, Conservative, and Orthodox all have the same teaching on this?
It makes sense they would though if you think about it, the garments of the High Priest were to be partly of purple and scarlet, both colors which came from either a shellfish or insect not kosher for eating.
And pearls, also from a shellfish not kosher for eating, were worn.
So the prohibition was just on consuming, not touching or handling.
As far as I know they agree on it but the Rabbi was Conservative so I can not speak for every group. But I do know the agreement on the heart valve issue was from the council in Israel so that is probably pretty much universal.