Kodi runs great on an RPi3 but if you install the amount of pirate add-on crapware that your log shows I would expect problems. Aside from the dubious legal status of those add-ons (and banned in this forum) they are poorly coded and frequently attempt to detect and break other 'competing' add-ons to drive user traffic to their forums where you generate adsense profits for the scum who operate the sites.
As you have discovered, the problem follows you between LE, OE, OSMC, which proves it is not an OS problem. If you purchase a NUC and reinstall the same crap it will run the crap faster, but equally crappy.