He doesn't, because it's suspected that his Master effects are permanent, and then there will be hundreds of sleeper agents across the country that will cause massive amounts of damage in revenge. Plus, he's just lazy and has no ambitions beyond maintaining a harem and keeping a low profile. Heartbreaker is like Lung and Panacea: an incredibly strong power that went to a host the shards picked because the person was disinclined to use it to it's full extent unless pushed by others. From this we can conclude that these shards have been stress-tested enough and are only in the cycle to stress-test *other* shards.
People joke about Lung being the 'level one boss fight', but I think this is quite literally true. People gain powers tailored not just to their situation and trigger event, but also their personality, and a lot of the stronger natural capes lack the drive and ambition that those with weaker powers have. Lung is the perfect example of this. He gets stronger the longer the fight goes on, thereby always providing a challenge to others, but doesn't go out of his way to start fights after he's seized his initial territory. Instead, his shard influences him into parking himself slap bang in the middle of one of the cape capitals of the US and daring everyone to fight him. The harder they fight him, and the more capes that do so, the stronger he gets and the faster he escalates.
WoG says that Nilbog being content to sit in Ellisberg and not try to break out means that his shard is broken, it's been stress-tested enough and has another role in the cycle, or both of those. Glaistig Uaine killed many capes and harvested their powers, but most of those were from the cape team that were sent to capture or kill her, and then afterwards she turned herself in and voluntarily went to the Birdcage. Sleeper barely does anything at all, and is one of the strongest capes in the world. Assuming Nilbog isn't broken, or not *just* broken, that means that the six strongest natural capes in canon (that we know about) are all people that don't do nearly as much with their powers as they could. I'd say that's fairly conclusive evidence that shards pick their hosts very carefully indeed.
Hmm, that went off on a bit of a tangent, didn't it?