If on the same strap, then you will increase the sheeting angle as you apply more outhaul...which is loosely tied to how much wind you have...more wind more outhaul. So, having more sheet angle in more wind is not a problem and can help with mast rotation in certain conditions (choppy in light to moderate winds are where you get lots of rotator slap). But when you are inlight stuff, and you apply less outhaul, your sheet angle will also be less or nearly vertical, so you're mast flopping will not be prevented.

On the photos I showed above with the outhaul's external to the boom, there are no methods for actually pulling the clew forward when the outhaul is eased. Nearly all boats I've sailed have the outhaul control lines internal to the boom with a small traveller car or plate the the clew attaches to. There is also a line or cable attached to a large diameter bungie (all in side the boom) that provides in-haul when the outhaul line is eased. Not sure how much the webbing or lashing straps shown in the picture will actually move when the outhaul is eased.