Yes: the first position isn't special; the last is. The head of a compound noun in English is the last word. The thing denoted by A B C D is a D, first and foremost. The nouns A B C are modifiers applied to D, in the order C B A. They normally cannot be plurals.
Even when a plurate tantum such as "scissors" is used as a modifier in the non-head position, English speakers invent a singular form for it, giving rise to usage like "scissor blade".
The 1990 movie starring Johnny Depp could not have been called Edward Scissorshands.
(I would go as far as to suggest that "scissors blade", though widely used also, is a hypercorrection based on the forced idea that there is no "scissor".)
