Problem is to "check the engine out" can mean a multitude of things depending on how much paint got into the back end of the thing and possibly penetrated into, for want of a better expression, the deeper workings, behind seals and elsewhere.
One end of the scale the engineers might be happy with quick clean of some sort and then once over with a boroscope, if there are deeper concerns it might well be an engine change so that the unit can go into the workshop, possibly even back to the manufacturer for a complete strip down and rebuild...
A complicating issue is the 330 is a twin engined long range aircraft, that means verses a four engined type you have very strict rules and regs about engine maintenance and less tolerance to very minor damage.
TBH we may never know (unless maybe there's a court case and costs come up) the exact level of damage and what any fix involved.