Ah, but it does work that way.
The Radomirs can trace their ancestry back to Constantine VIII. When the Komninids led their military coup in 1057, the Royal Family was banished. The branch now known as the Radomirs fled north into Romania, where they gained their distinctive name. After spending decades there, slowly returning to their old wealth, they were awarded countships and duchies in Croatia, eventually rising to the throne of that nation. It is from there that they plotted their centuries' old revenge on the reigning Bulgarian dynasty in Constantinople.
Time after time, however, they were rebuffed. So eventually, they turned away from the east and decided to participate in the tearing down of the rebuilt Western Empire. It had been built by Franks, the very people from Gaul Julius Caeser spent his entire life conquering. Now not only was the Eastern Empire an abomination of rebellion, but the Western Empire was a fraud as well.
A further century's worth of military reform was needed in order to break the Imperial troops. The always jihad-ready Muslims helped in quashing the peninsula.
Using the newly gained manpower from reclaimed parts of the Western Empire, the Radomirs were finally ready to head eastwards. In the end, it might've taken 290 years, but the Radomirs finally reclaimed the throne they had been banished from by the very Komninids that still rule Anatolia. It is merely this date that the Rebellion reached its forgone conclusion. A rebel, by definition, is one who rises against an established ruler. He is an outcast, an outlaw, an outlier. The Radomirs simply succeeded where Michael VI failed: In finally putting down the pesky rebellion.