With UC, after your surgeries, anything that occurs would medically be diagnosed as something else like pouchitis or cuffitis. So technically no, you don't have UC anymore. But if you were also diagnosed with crohns then that's different since crohns can present itself anywhere in the digestive system. Unless your drs are saying your flare ups are specifically related to having crohns and your medical records don't say you have it, i wouldn't include it.
Good luck!