You are 100% correct. He played from a wrong place and signed a wrong scorecard. Disqualified.
If Tiger does the right thing and disqualifies himself his standing in the golf world and my own personal opinion would be ‘Bobby Jones like’.
(another ex-rules official)
Tigger should have been DQ’d. 2 stroke penalty is bs.
By not disqualifying himself, Woods has chosen money and self-interest over honor and integrity (both of which he is in desperate need of)