> long-lived branches are _bad_? Merging in partially-done features is _good_?
...uhhh, yes? I've never heard anything to the contrary. Can you explain why you think the opposite?
For long-lived branches: The longer a branch exists separately and diverges from main, the more pain you'll create when you try to merge it back in - both because of changes that someone else has made in the meantime (and so, conflicts you'll (possibly) have to resolve), and because you are introducing changes that someone else will have to resolve. The pain of resolving conflicts scales super-linearly - it's much better to resolve lots of small conflicts (ideally, so small that they can be algorithmically resolves) than to resolve one large one. Plus all the arguments from the point below...
For checking-in early and often: flip it around - what is _better_ about having the change only on your local repo, as opposed to pushed into the main codebase? If the code's checked in (but not operational - hidden behind a feature flag), then:
* your coworkers can _see_ that it exists and will not accidentally introduce incompatible changes, and will not start working on conflicting or overlapping work (yes, your work-planning system should also account for that - but extra safety never hurts!)
* if you have introduced a broken dependency, or a performance black-hole (which might only be possible if you're running your code in "shadow mode", executing but not affecting the output until it's fully ready - which, again, is only possible if you check in early-and-often!), you can discover that breakage _early_ and start work on finding an alternative (or, if necessary, abandon the whole project if it's intractable) earlier than otherwise
In fact, to take your example - "sometimes you realize the way you are implementing it (or the whole feature) is a bad idea and all the work should be orphaned" - yep! This happens! This is not a counter-example to my claim! Orphaning an inactive "feature" that has been pushed to (but not fully activated in) production has no more impact than abandoning a local branch. Even orphaning a feature that has been partially activated is still fine, so long as it didn't result in irreversible long-term state-updates to application entities (e.g. if it added a "fooFeatureStatus" to all the users in your database, rolling it back will be tricky. But not impossible!). So there are very few (or no) downsides, and all the advantages I described above.
I do agree that API changes are the one exception to this rule - you should have those reasonably nailed down and certain before you make changes, since those affect your clients. But any purely-internal change which can be put behind a feature flag, on an inactive code path, in shadow mode, in canary/onebox testing, or any other kind of "safe to deploy in prod, but not _really_ affecting all of prod" - do it!