Punishment in the late Roman Army

[romanonick]

Is there any proof of severe penalties (particularly offences that would have attracted flogging or death) being reduced in number or relaxed in the 3rd and 4th century as an extra inducement to attract 'barbarian' enlistment ? If so, would these have been applied 'universally' throughout the army?
My limited sources (Elliot, Morgan, Peddie, Salway), perhaps justifiably, do not mention this aspect.

Any info would be most welcome.

Regards,