Yup, there is a danger if an engine isn't worked sufficiently hard at run-in the bores can glaze and the rings then will find it difficult to seal properly.
Independent of the ring/cyl wall surface finish, there will be a certain amount of out of round and less than perfect conformity. This will produce blow-by which in turn will cause varnish and other glazing products to be formed on the cylinder wall/piston skirt. The rings need to wear to suit their bore.
Optimum results occur when the engine is worked sufficiently hard to minimise this effect.
A pattern of varied engine speed/load seem to work best, while avoiding extremes.
Most factory fill oil is formulated to speed bedding/settling/running in. If this is changed too soon then the synthetic/semi synthetic refill may prevent it happening at all.
I have seen engines where it was necessary to strip, de-glaze the bores and rebuild.
If you suspect bore glazing to be a problem on your vehicle, then a fill of running-in oil may be helpful.
Of course, there may be other reasons an engine may be using oil.
