Fixing that bug is probably less valuable than getting the feature into the hands of users.
Also, don't stress about "losing" users. There are plenty of users and you'll be surprised how forgiving your users will be if you're open about bugs and fixing them.
As a biomedical technology, we have to demonstrate the scientific accuracy of the product we ship. We also have to be aware of the consequences of bugs to our users. While Facebook users may not mind a slightly finicky widget, laboratory technicians are much more sensitive.
I'm all for rapid iteration and product development, but I think it's important to ship things that are context-appropriate. I also feel that there's substantial, if intangible, value to being proud of what you ship.
I worry that a culture of shipping somewhat-broken things may end up doing us harm.
But the article did at least make it clear that the advice was targeted at smaller SaaS providers. Depending on the users needs, that might be okay.
Shipping® also encourages a single source of truth for the development team to work from. The master branch is really just another branch when a project does not push that master immediately to production.