Pushing out something completely broken that doesn't do what it's supposed to is definitely not going to work (duh!). Pushing out an app that solves the problem of managing shopping lists that has a bug where it doesn't work given a particular set of circumstances will still lead to many people using it if the users don't have any alternatives and it's better than using a piece of paper.
Software quality is important to companies because it means that they can spend more time building features instead of fighting fires, and because low quality represents a threat that a competitor could launch a better, less buggy app. Users mostly don't care so long as the app works well enough to do what they need it to do (but they're not dumb, they'll still pick the least buggy option if there are alternatives..).
A high level of quality in software is not important unless you're entering an already well-served market. I wish it was.
The idea is that it does what it says on the tin, without fanfare, robustly, usably, accessibly, localizably, and dependably; providing a user experience that gets out of the way of the user, in a manner that does not surprise the user (even "good" surprises can be an issue. Boring software can be just what the doctor ordered).
In my book, that's the definition of "quality."
I'm working on an application that has been over a year in the making. Its functionality is something that I could have popped out in a month, but making sure of the Quality of the app has necessitated that I spend a great deal more time, "polishing the fenders."
If this were a commercial app (it isn't), then it would have been unbearably expensive for a startup.
I tend to write test harnesses in a day or two, that have similar levels of functionality to this application.
High Quality is significantly more expensive than even "decent, but lesser" quality.
So I would say engineer is a poor term, but also the only one we've got for now.
You can't design it in full in one go, but you can design it and then incrementally update said design. Sadly many (companies) do not. But you can define the problem(s), the scope, the scale, and then design a solution appropriately to meet those needs (for a defined period of time). That's what distinguishes software engineering from hacking. They both have their place. Many companies claim to do the former but are mostly doing the latter. Software is still early in its life and as various kinds of system designs stabilize, so will the formalizations around what it means to be a software developer. Reading a book like Designing Data Intensive Application's you can't help but see those formalized topics budding.