emf is still used when you are referring to an induced 'voltage'. So the secondary of a transformer has an 'emf' induced and an antenna will also have an emf induced into it and a chemical cell will generate an emf. This term distinguishes this manifestation of a voltage from the Potential Difference that is actually measured in a circuit, fed from a real electrical source - one with a source resistance (so called Internal Resistance of a battery)
So PD would be equal to Emf - Current times source resistance or:
PD=rI.
I remember my Dad always used E = IR, after his college ONC and HNC courses on 'EE' (=Voltage Voltage??haha). It confused me, wham I started using V = Ir at school.
Flavours change from generation to generation. I remember , in A Level Mechanics and Physics, acceleration was always lower case f. So v=ut+ft2/2 was what we used in our equations of motion calculation.
It's a moving target, as new variables arrive and pinch the commonly used symbols.