Hi Tyler,
That is a bit harsh, I have connected a few throttle cables to the governor arm because the governor has failed internally. I have only done this on bigger motors that run well but have no throttle /governor control. What has been done in your pic is way off the mark and cannot control the revs, be either flat out or stop. What you have to do is take the arm that goes to the butterfly and fit it as low down on the governor arm as you can. This slows down the opening of the butterfly on the carby. You then fit the cable to the hole where the governor arm used to be. You then have to clamp the cable outer somehow and that can take some time coming up with a fix for that.