Not all Honda starters are the same bolt pattern Lockstock ,I don't have a HRU194 motor here to check the bolt pattern measurements ,but if you have the measurements ,I can check a few other Honda mowers and see if the pattern is the same.
Yes I would just change the starter to a duel pawl starter ,even an old starter off a chonda can be adapted, you just use a compass to mark out the circle diameter and drill the holes or make an adaptor plate if you can't redrill the starter.
I've had a few second hand Sanli mower starters (Pic of Sanli starter below) that I've redrilled because they have a fair amount of metal around the bolt holes that can easily be redrilled.