A protein that can be activated (or its activation potential increased or decreased) by a magnetic field has absolutely nothing to do with the possible magnetic effect of the vaccines. The field required to activate that protein is very tiny and would not in any way cause a strong enough magnetic response to hold up a two ounce magnet, even if the protein were being produced in many cells.

Lets look at the paper. See Table 1. The strongest particle strength is 38.9 piconewtons. In this experiment there were 4-8 particles per cell (call it 6).

The average human cell size is 10-100 um (micrometers). A muscle cell (the injection site) is on the larger size, so we will say 100 um per side per cell. So in one cubic centimeter there are about 0.01^3 / 0.0001^3 = 1,000,000 = 1M cells.

If one million cells were infected that would create a net effect of:

38.9 pN * 6 * 1,000,000 = 233.4 pN / 1E-12 pN / N = 0.00023 N

A 50g magnet (some I've seen in the anecdotal evidence almost certainly weigh more than that) would require a force of 0.5N to hold it up. So that is 2100 times less than being produced by the hypothetical million infected cells.

It would require over 2 billion cells to all be infected with the maximum strength particles.

The size of the spot that the magnet seems to adhere to is less than 2 billion cells. Therefore this is highly unlikely to be the effect.

If there is any "magnetic effect" at all, this is not the cause. (Not saying there isn't, just saying all evidence so far is anecdotal.)