Those rebellions in those provinces start after Romans export half of the population as slaves and send the rest to work in the local mines. There's the catch.

Actually, its worse - even if you were a saintly society neighboring Rome or within the reach of Rome, Rome would invent a 'reason' to invade you if you had something they wanted or they lacked enough slaves. Like how the Syracuse invasion was done on literally manufactured consent by disguised legionnaires committing acts of atrocities against the Romans. All the wars of Rome from Early Republic and on were done on such manufactured consent and false flags.

At the end of the Republic period, everything changes - they stop needing to manufacture 'reasons' for invasions. By this time, the empire is already nascent as a social and political format and the slave-reliant economy is already dominant so there is no need to manufacture consent for the need for acquiring slaves.