Rather than doing a one-and-done launch, Danielle Johnson represented the release of multiple new features as a new version of Leave Me Alone ($2.4k/mo), which she then launched to gain new users and revenue. "It's been 9 months since we launched the first version of Leave Me Alone," she said, "and we've hit some amazing milestones since then!" So, if your first launch doesn't go well, or even if it does, don't sweat it — build a new version and relaunch.
I agree, you can also launch new "features" and you probably should do that monthly - given you have to share anything new. Buffer for example does it and others too. There are great examples on ProductHunt. I'm currently trying that as well. The last "feature launch" was maybe 2 1/2 days of work, lots of fun and it paid off.