The rules for ending persistent damage seem fairly straightforward (if more brutal than many other iterations). There is the ability to use the Activity Administer First Aid to allow for additional checks specifically for persistent bleed.
However, the Activity only says
Stop Bleeding Attempt a Medicine check on a creature that is taking persistent bleed damage, giving them a chance to make another flat check to remove the persistent damage. The DC is usually the DC of the effect that caused the bleed.
and in persistent it includes
Reduce the DC of the flat check to 10 for a particularly appropriate type of help, such as dousing you in water to put out flames.
Is there any guidance that Administer First Aid allows for the lower Flat DC check? Or should it be at the standard DC/up to the GM?