A question about geometry of benzenetetrol
The melting point of 1,2,4,5-benzenetetrol is 210C (https://www.chemicalbook.com/ProductChemicalPropertiesCB41307665_EN.htm), so there is very probably significant intermolecular attraction between molecules, probably in three dimensions, which would involve the hydrogens pointing up and/or down, and not in-plane.

For a crystal structure, https://pubchem.ncbi.nlm.nih.gov/compound/1_2_4_5-Benzenetetrol suggests that 3 hydroxyls are planar while one is as out of plane as you would expect for cyclohexanol. Believe it or not. (I don't believe it.)

The (predicted) NMR spectrum shows two peaks, one very sharp for the aromatic protons, the other fairly sharp for the hydroxyls, but no experimental data seems to be available. The sharpness of the predicted spectrum suggests that the prediction is that free rotation is likely in solution.