Of course, in SI this is very straightforward: the unit of mass is the kilogram and the unit of force is the newton, which is the force acting on a mass of one kilogram experiencing an acceleration of one metre per second per second in an inertial frame of reference.
The pound a unit of force. It is also a unit of mass. Both units share the same name.
If I weigh 160lb on earth I'm told that I would weigh 26lb on the moon.
That makes sense if lb measures force because gravity affects force.
In short, this commonly shared "fact" is consistent with pounds being a unit of force, not of mass.
Or, I suppose, of lb at least sometimes being a unit of force.
I don’t know how to make the point any clearer that there are two units of measurement, both with the same name.