Mostly bunk. The traditional thinking that mineral oil is necessary to seat rings doesn't hold too much water; many engines are broken in today using other oils, and a multi grade oil may be used just as well to break in an engine.
Always use the manufacturers recommendations.
As for concerns regarding hardening of seals, ridiculous. If the oil meets the appropriate Milspec, it meets the milspec. The oils aren't incompatible with seals, gaskets, etc. Synthetics tend to be more susceptible to find places to leak, but this isn't due to seal deterioration, but only to characteristics of the oil itself.
The only concerns with seating issues are glazing taking place before an adequate wear pattern has been established between the rings and cylinder walls. However, remember that the crosshatching that takes place during honing in cylinder refurbishment or production is a form of wearing in...glazing that takes place interrupts contact between the rings and the cylinder wall, resulting a poor seal, bypass, leakage, and increased oil consumption. that's more likely to occur with mineral oils (which include multi grade, single grade, and AD oils).
Remember also that "synthetic" oils and mineral oils come from the same source; they're all petroleum products. Many folks, mechanics included, believe that synthetic oil isn't really oil, but some made up product that's used in its place. Not so...all are petroleum products, just different formulations.
Mineral oils form glazing and deposits, whereas synthetics tend at the most to remove the deposits and glazing. Lacking the glazing, some minor increase in smoking may sometimes be seen, and may be misinterpreted to mean that "break-in" hasn't occured, when in fact, it has.