JM-
The HSCA was a group of smart and skeptical people, and they concluded LHO owned the M-C rife (technically a carbine) in question.
It sure looks like LHO carried a suspicious bundle into the TSBD6 on 11.22, and then slender light-skinned male was seen (by Howard Brennan) firing three shots from the TSBD6 sniper window in the direction of the limo, while gunfire rang out.
Three loud shots were heard inside the TSBD during the JFKA, three shells found in the TSBD6 sniper window.
Not one eyewitness said they saw LHO while shots rang out. LHO was invisible. The Prayer-woman image is risible.
I would lay heavy odds LHO was the TSBD6 sniper.
But, IMHO, LHO could not have perped the GK smoke-and-bang-show, nor fired rounds that struck Gov. JBC ~Z-295 and JFK at Z-313.
US State Dep't employees, including the Ambassador to Mexico, lost their jobs for merely wanting to pursue LHO-Cuba leads.
LHO met with three KGB officers in MC. On a Saturday! LHO may have met G2 ops in New Orleans (says Gus Russo). Alpha 66 had a house on Harlandale in Dallas, where a lone eyewitness placed LHO. Alpha 66 was penetrated by G2.
LHO may have been induced by money, or promise of flight to Cuba, to participate in the JFKA.
Remember...why did President LBJ direct the WC to conclude with the LN narrative?
LBJ, with a lot of good reasons, wanted to avoid a nuke war with Russia.
Also, there just was not much JFKAC there. A small plot, with no oversight or participation by institutions...left no trails to follow, once LHO was dead.