Conflicting safety issues
This sounds like a great idea if you only take cyclist safety into account. However, it's very well established that right-hand turns are far more dangerous, as well as much slower, than left ones. This is why roundabouts are good, since they turn everything into a left turn, and is why navigation apps that avoid right turns even if it means a longer route with multiple left turns around a block have been shown to be very successful in trials.
Doing the exact opposite and forcing lorries to turn right more may help a few cyclists at some specific junctions, but it will be severely detrimental to overall road safety, including for those same cyclists.