Options!
Prayer Man is either
-----------------------of similar height to Lovelady (= 1 step down) → ~5'8?"
-----------------------approx. 7 inches smaller than Lovelady (= on the landing) → ~5'1?"
Friends! If you look closely (as I know you ALWAYS do), you can make out Frazier behind Lovelady in Wiegman:

Lovelady only reaches up to Frazier's chinny chin chin.
We all KNOW that Billy Lovelady (5'8?") is on the landing, right?
Only an unscientific researcher would say otherwise.
This scientific observation about Lovelady being on the landing (and in shadow of the west pillar) allows us to establish that
---------------just as Prayer Man cannot be LHO because he's on the landing and is thus too small
---------------
Billy Lovelady cannot be Billy Lovelady because he's on the landing and is thus too small
This puts the Prayer Man nonsense to rest once and for all:
-'Prayer Man' is Sarah Stanton (wearing a wig)
-Billy Lovelady' is Pauline Sanders, who said she was beside Stanton on the east (she, not being a scientist, meant west) side of the entrance
-Lee Oswald is in the second-floor lunchroom, still staring at that coke
-Billy Nolan Lovelady is dashing across the sixth floor while checking to see if he has change for the coke machineNow on to the RFK assassination.