While you may be able to find attribution of that to some fringe elements of the Republican party, I have not heard Romney or Ryan say anything even close. In fact, they seem to be far more process oriented than the current administration that continues to try to find ways around government process (avoiding votes, expansion of executive orders, use of conference, recess appointments, etc).
There is some evidence that Democratic presidents use EOs more than Republican presidents. What I don't know is whose EOs are "worse". I'd as soon Congress rip much of the EO power back out of the President's hands.