IMO there is absolutely no reason not to use a HM oil. If it meets your car's spec, then it meets the spec. How could it cause harm?
Castrol Edge HM 0W-20, for example, states the following in the PDS:
Castrol EDGE High Mileage combines the friction fighting properties of Fluid TITANIUM in Castrol EDGE that transforms under pressure, with Phosphorus Replacement Technology that helps prevent catalytic converter failure.
Castrol EDGE High Mileage with Fluid TITANIUM Technology: unlock the true performance of your high mileage engine.
Application
Castrol EDGE High Mileage 0W-20 is suitable for use in vehicles where the manufacturer recommends a 0W-20.
Exceeds manufacturer's warranty requirements for applications requiring API SP and ILSAC GF-6.
Product Performance Claims
API SP
ILSAC GF-6
Meets Chrysler MS 6395
Meets Ford WSS-M2C947-A/ WSS-M2C947-B1
GM dexos1™ Gen 2
There is nothing in the PDS that indicates it could be harmful.