gee, what possible reason could the cons have for opposing this?

House conservatives oppose bill that implements paper trail.

A bill proposed by Rep. Rush Holt (D-NJ) to help states implement “a paper trail for voting machines so that voters could verify their vote and a recount could be performed” was stonewalled by conservatives in the House yesterday. Politico writes that when the bill “came up for a vote in the House Administration Committee on April 2, the Republicans on the committee gave it their unanimous support. But two weeks later, those same Republican members voted against moving the bill to the House floor.”

(Think Progress)
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Gosh, it's almost like having accountability would hurt them somehow, isn't it? Why would they possibly think that?