^ No, the GEM is not involved in the power feed to the relays except the high-low relay pin 3. It activates them, by grounding the output from the coil contact on the relay but power must already be getting to them. Perhaps I don't understand what you mean by no power getting to them.
On the picture below, you can see that direct from fuse 16, with ignition in ACC or Run, there should be 12V on pins 1 and 5 of the wiper run relay at all times, and pin 1 of the high-low relay, whether you have wipers set to run from the column stalk or not.
Do you have 12V power on these pins? If not, it is not the GEM.
When the gem gets the feedback from the stalk, it grounds Wiper Run Relay pin #2, toggles the wiper run relay on, THEN you should have power to the wiper high-low relay pin 3 but you don't really need to think about the high-low relay at all if there is no power getting to the wiper run relay.
If I am understanding your situation correctly and there is no power getting to the wiper run relay pins 1 & 5, then I would trace it as follows. First pull the fuse (or probe into the back of it if it has a slit and your probes will fit in there) and see if the hot side of the fuse contact is getting 12V. If not, you have problem there or upstream towards the battery.
If the fuse is getting 12V and is not blown, on the output side of the fuse contact, use a multimeter to check continuity between that point and wiper run relay socket pin 1 or pin 5 position. If you do have continuity, you should have 12V there. If you do not have 12V there, you have a break in the circuit between these two point, whether a wire, a metal bus bar type arrangement inside the fuse box, or a fouled socket contact.
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