Jan 6th has to play out Jan 20th does not.
Yes, it does. There's no way to stop it.
"Section 1. The terms of the President and Vice President shall end at noon on the 20th day of January..."
The terms of the President and Vice President will end on 01/20. That's going to happen.
"Section 3. If, at the time fixed for the beginning of the term of the President, the President elect shall have died, the Vice President elect shall become President. If a President shall not have been chosen before the time fixed for the beginning of his term, or if the President elect shall have failed to qualify, then the Vice President elect shall act as President until a President shall have qualified; and the Congress may by law provide for the case wherein neither a President elect nor a Vice President elect shall have qualified, declaring who shall then act as President, or the manner in which one who is to act shall be selected, and such person shall act accordingly until a President or Vice President shall have qualified."
If neither the President or Vice President have qualified for. Congress may by law who shall than act as President.
The 20th Amendment will be operating on 01/20. It can't be stopped. Not by martial law, not by the Insurrection Act. It's going to happen.