We know the following about him:
Garth of Izar was a decorated, highly regarded officer in the Federation Starfleet and former starship captain, who rose to rank of fleet captain in the course of his service through the mid-23rd century. His career dissolved in a dramatic descent into madness and attempted genocide, resulting in his commitment to the Elba II asylum for the criminally insane.
We also know that he was one of Kirk's heroes - until Kirk finally meets him.
We know that Brian Fuller said the following of Star Trek Discovery's place in the timeline:
There's an incident, an event, in the history of Starfleet that has been talked about (in previous Star Trek shows), but never fully explored.
This hints at some unspoken backstory prior to TOS.
In Star Trek Discovery S1:E3 Context is for Kings - we see that Captain Lorca has some sort of trophy room of weapons. We also see several incidents where the Admiral Cornwell pulls Lorca up for his behaviour, as if she things he is losing control.
What if the "incident" involves the Battle of Axanar, and Lorca ends up being Garth of Izar?
My question is:Is there evidence to suggest that Captain Lorca and Garth of Izar are the same person?