There´s no "two turns down" on the HIF. To lean out the mixture you turn the adjustment screw anticlockwise.
The initial position in an HIF is exactly the same as in an HS. 2 full turns rich from the jet being flush, which on the HIF means 2 full turns clockwise, which winds the screw down.
If anything running lean is more costly than running rich. It takes quite an excessively rich mixture to get serious bore wash but a very lean mix leads to localised overheating to the point of melting through piston crowns, among other things.
The initial position is safe for the engine, it should put the mix right about the middle of the plateau. The method of finding the proper tune listed in Haynes (the plateau method) is good enough for a normal everyday car and will be safe enough for a car in a more developed state to run, until you can get it to someone who does know how to tune it if it's something you aren't familiar with.
I'd agree that really excessively rich mixture might wash the bores and dilute oil, but I wonder how we got on years back. I had a lovely rebuilt lotus twink, mixture was set up completely normally, but the run in was controlled - I did 150 miles first trip out, never laboured it, and didn't cane the revs, next day the timing was advanced a couple of degrees closer to standard and a little more work done.
Changed the engine oil at about 1200 miles (no synthetics then), and the engine was fine 65000 later with normal maintenance -
There were never the issues years back with glazing, and mixture was never set as accurately as it is now, are engine oils just too good now, or is the honing too good? If anything the running in back then was softer than it is now.
I'd expect problem with the choke left out for the duration of the run in, but not for running a bit rich. Aircraft engines don't have these issues - I've flown aircraft with new barrels and pistons, and especially on those aircraft with manual mixture, they are frequently run heavily rich from time to time - and never glaze up, but then maybe they aren't treated so softly as a car engine, purely because of a respect for the ground.