It simply isn't possible for Ash to just be a red herring. His entire prison backstory is already proven false, and there is no way there's any innocuous reason to lie about how he survived the prison.
But the lie can be a red herring, too. After all, the one untrue bit is him rotting in the cell for seven months - but seven months is a number given to Tyler by Lorca, while the Lieutenant himself seems to think it couldn't have been that long.
Was it just me or did the writers and producers realize the screwup of the "D7" in the previous episode and tried to alleviate the problem in the dialogue of this one? At one point somebody on Discovery refers to the ship that captured and was holding Lorca as a Bird-of-Prey.
Saru in "Choose Your Pain" called the ship a Bird of Prey, too. And a prison ship.
However, his bridge officer said they were tracking the battle cruiser that had abducted Lorca, so there's a contradiction there.
And it doesn't help, because the ship we saw was the one they called the battle cruiser and the D7. The admittedly externally "almost" unseen ship where Lorca, Mudd and Tyler were actually held may have been a Bird of Prey, with the mere 30-40 crew Tyler speculated on (meaning Lorca could basically have captured the entire ship, at the rate he was vaporizing those Klingons!), but that isn't much consolation.
Now, we know that continuity within the Trek universe isn't spotless and never will be and both B&B and Abrams f'd up and called Klingon warships by the wrong name ("Warbird").
Why should we think it's a wrong name? B&B are probably the ones in the wrong, for mistakenly thinking that their completely appropriate name was "wrong".
Timo Saloniemi