It depends on what exactly you mean by "brake cleaner"; some are chlorocarbons, and those definitely can dissolve plastic, while others (often known as the "highly flammable" type) are hydrocarbons.
I thought chlorocarbons were banned.
You're thinking of CFCs (chloro
fluorocarbons). Chlorocarbons (aka organochlorides) are a huge group of compounds with many widely used members, including PVC, dry cleaning solvents, etc.
CFCs are still being widely manufactured as precursor materials for other products. They just can’t be sold for refrigerant and propellant applications any more.