Is there asbestos in this brown firewall pad for mopar a bodies?

The only interior padding that I've heard may contain asbestos is the densly formed pads such as those behind the kickpanels. Even that is rumor, not fact.
It seems highly unlikely the shoddy contains it. Was it ever used loosely like rock wool and fiberglass batting? I can't think of any examples of that. Even when used as insulation around steam pipes and such, it originally was sealed in.

Asbestos is NOT in lath. Lath was made from split, and then later rough sawn lumber. In the 20th century expanded sheet metal screening became a commonly used lath.
Plaster is lime and sand, and the rough coats often had horse hair or similar mixed.
Plaster does not usually contain asbestos. There was a very short time period (relative to the time period of widespread plaster use) where asbestos might be found added to plasterwork in addition to or instead of the hair. At about that same time, gypsum board was starting to take off. Bottom line is not be concerned about plaster unless there's very specific reason to do so.