In my opinion, even on 2 engines, an enroute diversion always gives a lot of suplementary workload, find the charts, get the MET, RWY lenght
notams, elevation, MSA...If you are in a single engine emergency in a acceptable distance from your home base, where you can fly the approach with eyes shut, why not continue and give full attention to the emergency?
I agree that in CAVOK condition, you have no option and land asap.
I flew 1200 hrs on C-150, and C-172, so I was 1200 hrs in an single engine emergency?