Outside of pathological cases, even slow software usually is still lot better than no software and doing things manually, especially when the number of users is >1. I believe that is big reason why people do not avoid slow software.
Jira comes to mind as one example, where it seems almost universally hated by developers but loved by others, yet everyone (including others) complain it's slow, but damn if you cannot model near every single process in Jira if you'd like to.
Wordpress is another where performance is atrocious and security is usually lacking, but if you look for a plugin that does X, someone somewhere probably have already coded it for Wordpress.
Amazing solutions tend to have narrower focus. They tend to exclude complex workflows, forcing simplification. And there's an added bonus. The more admin tools you lack, the less likely management or other departments are to use your system. If they don't use it, they are less likely to be meddling with its configuration.
In short, Jira isn't a terrible product. It's a product that doesn't protect you from terrible people. ;)
It will let you do whatever you want.