So coupling between the two signal planes, and big loops for the current in the lower signal plane trying to return on the nearest plane which is power and needing to find a decoupling cap and making the thing a right `mare to debug then, also long vias adding inductance to your power connections?
The thing to remember is that the significant fields in modern electronics are usually magnetic, not electric. This did not used to be the case back in the valve era when everything was high voltage and high impedance, but is very much the case these days.
Both radiation efficiency and susceptibility to magnetic fields is largely driven by loop area, so having a reference plane that is both unbroken and **close** to your signal layer serves very much to minimise radiation, there is a reason almost everyone uses S-P-P-S for 4 layer.
73 Dan.