Could he have been the carrot-stick ruse the wrongly-accused was lead to believe would be his "contact" inside the theatre...given Mr. Davis (Jack's) observations of the wrongly-accused's notable display of playing "musical-chairs" as he moved from seat to seat, sitting momentarily near others inside the theatre...
Lee was definitely in a hurry to get to the Theater.....He had never ridden in a Taxi because he said he could travel in and around Dallas by using the bus system and transferring from bus to bus to reach his destination. He would never have hired a taxi to travel to the rooming house, if he was merely going to watch some old WWII war movies. He was headed for the Texas Theater and a meeting with his handler ( manipulator) .... And that manipulator was an FBI agent who Lee trusted.
He was aware that JFK had been shot...and he was anxious to meet his handler to see if he should continue with the plan to flee to Cuba
Good morning, Mr. Cakebread
A legitimate point @ the wrongly-accused's sole reason for entering the Texas Theatre that fateful afternoon was to rendezvous w/someone he indeed trusted. I'd bet the farm it was a cut-out between him and his New Orleans routine breakfast associate Bureau special-agent Warren Claude de Brueys.
Where I respectfully differ with you on the latter end of your post sir, I'm not sold on the Cuba angle... that in my humble opinion was employed to embellish a pre-text for an excuse for an all out attack on Mr. Castro, but out of respect for your exemplary research into this case beyond my mere 7 years, I am open to listening, err. reading more specifics surrounding the Cuba angle should you care to provide them. Otherwise, just on this particular subject matter, I respectfully believe the sole mention of Cuba--by parties unknown manipulating public-sentiment--only served to inflamed that public-sentiment for an all-out invasion of that small island.
Otherwise, Mr. Cakebread, I do indeed believe the wrongly-accused went to the Texas Theatre that afternoon for the sole reason to meet someone with Bureau or Agency status he trusted.