Dealers also:
- Change oil before the Maintenance Minder indicates an oil change is due despite the fact that Honda explicitly instructs them not to do so
- Use additives despite the fact that Honda explicitly states not to do so
- Perform fuel injection cleaning/flushing even though Honda says this is an improper repair procedure
It appears your screen shot is that of a Honda dealer's website. Honda's website reads a bit different:
Notice it doesn't say "oil" - just "parts". One could argue that oil is a fluid and not a part and that only the filter needed to be Honda Genuine.
Regardless, the only way I'd believe a dealer used Honda Genuine oil is if I watched them open quarts and pour it in the crankcase. Honda sells oil in drums, but very few dealers actually buy it.
With that said, I respect your choice to use Honda-branded oil even though any 0W-20 oil that meets the specifications listed in the owner's manual will work just fine.