I contacted Orolia (manufacturer of Kannad ELT) with these questions: (edit to correct Oralia to Orolia)
"How can I verify that the internal GPS of this ELT is receiving a GPS signal, has a GPS position lock, and is able to report my position? Will self test fail if no GPS position is being received?"
I received this answer:
"Unfortunately, there is no easy way to check the proper functioning of the internal GPS receiver.
Self-test will fail if the GPS module is found defective (loss of communication between GPS module and microprocessor) but self-test will pass even if no valid GPS position is received.
Indeed, to acquire a valid GPS signal, the ELT must be switched ON more than one minute, which would transmit a FALSE ALERT DISTRESS MESSAGE. It is strongly required to avoid such situation.
If you have got a 406 MHz beacon tester (IFR4000, BT100, BT200) AND IF you are familiar with it, you can connect it directly to the output of the ELT BNC connector to avoid transmission through antenna. This test would be done under your responsibility.
If you have a doubt about the serviceability of your ELT, you can have it tested by a Kannad Approved Repair & Warranty Center.
Mid-Continent Instruments and Avionics - Wichita, KS
Pacific Southwest Instruments - Corona, CA
SC Accessories (Southern Cross) - Fort Lauderdale, FL
Thales Avionics USA - Piscataway, NJ"
This confirms what I had suspected and leaves me wondering if the EX/FX ELT installation will work as intended. One test I had intended to perform was to disconnect the GDU 465 GPS antenna and place a substitute antenna under the seat close to the ELT. The GDU 465 has good GPS reception monitoring and should give an indication of how well the antenna works under the pilot seat as compared to the standard location on the fuselage bracket above the passenger seat.
I don't remember why I didn't complete this test but it's back on my list of things to do.