Look at a 208-120 system.
At any one point the L-L voltage is 208 V and and the L-G voltage is 120V.
However there is twice as much wire in the loop for the 208 V L-L fault as with the 120 V L-G fault in the line(s) so the line side impedance is roughly 1/2 for the L-G fault. But there is no way to know with any certainty what the impedance is through the EGC. It might be a smaller wire than the line, or a metal conduit. Plus you could also have all kinds of metal or EGCs more or less in parallel with the EGC. So you might have somewhere near zero impedance in the EGC, or it might be more than the impedance in the line conductor.
So depending on what you actually have for an EGC, you could have more fault current, or less for a L-G fault versus a L-L fault.