The bike oils typically do have more ZDDP than newer car oils, but I would suspect that as more and more bikes get cats, that the ZDDP may wind up being yanked from those oils sooner or later too. As to it causing any harm, I would imagine probably not, but understand that they are two very different applications.
For what it's worth, I know of several people who claim that modern diesel oils are excellent for use in your car too, especially if it's used in a long service interval, due to their ability to hold particulate matter in suspension, along with higher ZDDP packages.
I would feel more comfortable running an excellent car oil, that is high in ZDDP, over using bike or diesel oil in my car.
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Boxster S
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