No that flywheel will be fine. I'll slick it up a tad to be sure the coil spacing is just right. I use Belray H1R and really like it because of how clean it runs. I even mix it at 36:1... I can't decide to go with 40:1 or 32:1 so I figured I'd compromise with myself.
For breaking in an engine I keep non-synthetic oil around and run a few tanks thru my freshly rebuilt saws. I think the rings seal a bit faster that way.