Would triple turrets improve the Trento class?

Would the Trento-class cruisers have been better with triple eight-inch turrets?

Probably, because Italy could have produced a formidable eight-inch cruiser if it kept within treaty numbers, and Britain was unlikely to object strongly even though France would.

Triple turrets offered a plausible route to a more powerful Italian heavy cruiser. Britain would probably tolerate a limited number because the Royal Navy accepted that its globally distributed cruisers could not match every opponent one for one. France would have reacted much more sharply to stronger Italian ships in the Mediterranean. The principal internal obstacle was an influential Italian preference for four twin turrets and at least eight guns.