Simultaneously the speed must be reduced from 180 kt to 137 kt which, in terms of energy, is equivalent to 600 ft height, i.e.:
Arcsine(2,500/32,000)= 4.5 degrees.
Which only is valid if you assume no power reduction. That's not a valid assumption. An airliner passing a perfect 5 mile/3 degree FAF fully configured and on Vref is going to carry a substantial amount of thrust to stay at V ref.