Motorcycle exhausts are preferred for smaller engines or N/A setups… Well… Not exactly preferred, but you know what I mean…
Its uncommon, but there’s lots of Miata’s that have Hayabusa mufflers on them, but as for being turbocharged or supercharged, no, 2.5-3" for force induction, 2.25" for NA.
The Miata’s running 'busa mufflers are usually stock NA, NA with an intake, or IRTB’d (individual runner throttle bodied).