I did not say pressure was the same anywhere. That is a gross misreading. Atmospheric pressure is controlled in the gnome experiment by zeroing the balance. So unless the pressure suddenly changes on one side of the balance it does not affect the weight measurement.
Zeroing the balance won't help when things are physically lighter in high-pressure environments.
http://wiki.answers.com/Q/Would_an_object_weigh_more_or_less_in_vacuumWould an object weigh more or less in vacuum?
An object will weigh more in vacuum than in air because of the upthrust. There is no upthrust in vacuum whereas in air the pressure pushes an object or person from all sides. The air is dense and it is similar like water where the weight of an object is equal to the weight of the water displaced by it.
The Earths magnetic field is approximately 1/4 the strength of a fridge magnet, so I doubt it has a significant effect on a ceramic gnome or a lead weight, but the burden of proof is yours to show it does, so go to!
How do we know that all materials in the digital scale are non-magnetic?
Could you explain why a gnome might be lighter underground when the Earth's magnetic field should be stronger there? As shown in the link I provided?
The link says that the first reading was taken above ground and the second reading was taken in an underground lab environment. There are a lot of factors at play. There may also be magnetic material in the earth between the surface and the building. This underground lab may have been pressurized differently than the building up top. There may have been a difference in the static force of the desk it was on, the floors, walls and ceilings of the two locations. The experiment is totally uncontrolled.
Your link also asserts the following:
The second effect that can change an object's weight with location is that the Earth is slightly flattened at the poles. That means its radius at the equator is about 20 kilometres bigger than at the poles, Jillings said. Objects at the equator are therefore slightly farther away from the centre of the Earth, so the gravitational force is not as strong.
How can it be that things are "lighter at the equator" if the equator bulges out there and there is more mass beneath your feet?
It should be reversed, that things are heavier at the equator because there is more mass pulling you down. Otherwise the idea of being lighter as you travel underground does not make sense. Observations of gnomes weighing less at the equator would run contradictory to the model.
Clearly, they are making things up to justify observations which contradict RET.