Does everyone agree that if the low voltage condition exists with the main breaker off then the issue is not the circuit breaker panel or house wiring?
Yes. But not the other way around... if the voltage looked OK at the input terminals with the breaker off, there could be a high resistance in one of the lines, and that would still give good looking voltages.
I am going to call the good leg L1. If I understand correctly, you are probing the input terminals and see 120 VAC from L1 to neutral but much less than 12o from L2 to neutral. Not much to go wrong with your test procedure there. It sounds to me as everything you are doing is the right thing.
When things work, you should get about 240 L1 to L2, and much less during the problem. Turning on the oven would make some L2 to neutral voltage, but the L1 to L2 voltage would go down a lot in that condition.
Unlikely to be the case, but you could measure the voltage between the L2 wire and the L2 terminal that clamps that wire. (talking about probing two spots maybe 1/4 inch apart, just to be clear) If that does not read zero, you found the problem. But with your electrician tightening that terminal more, that is very unlikely to be the problem area.