Joe,
Given the initial investigations had a 3 bullet pattern of JFK hit, Connally hit, JFK hit, which was only later modified to fit the Teague strike in after quite a period of time.
That Gov Connally and his wife both consistently asserted that the Gov was hit after JFK.
I do not think being sceptical of the SBT, is a quirky belief.
Anthony, no modification was needed to fit the Tague strike. If Tague was hit at all, it was from a fragment from the head shot. Directly or indirectly.