Thats not really the point that my reply was addressing. Software production almost always takes place within a wider context of economic activity: product launch activities need to be scheduled, server capacity needs to be provisioned, hardware needs to be produced and assembled, people need to be paid out of budgets, etc. I'm a dev and I hate being micromanaged, but usually people really do need to know when the code will be done.
Not so much for mathematicians proving conjectures. Which is nice for them. I guess.
We might prefer that our projects be given unlimited leeway, but we still have to fit within businesses and their ability to forecast what they can sell, when the next round of bugs will be patched, and even how many developers should be hired.
Estimated is hard, leadership often fails to understand how hard it is, and it should always be accepted with a bunch of caveats, but it _is_ a very useful tool.
Estimating is not hard, it's snake oil. That's how you end up paying $100M for burndown charts and a government website that doesn't work.
Certain jobs do have these estimates better managed. For example, tunnel construction often hits unknown things underground that delays the project substantially in time and money. However this is par for the course with tunnel construction and such delays are even expected at this point.
But seriously.. there's levels to planning. There's strategic planning which is less often and then implementation of delivery stages which is more on going. It is helpful to know if something will be delivered in 2 weeks or 2 months. The problem is when the dev team says 2 weeks but discovers more and knows it will be 6 weeks but the deadline is firmly set to the initial 2 week estimate.
Tenured mathematicians are immune to deadlines, and non-tenured ones don't "story point" conjectures. Your PI does not usually make you submit daily status reports. Targeting a submission date three to six months ahead and trying again if it doesn't work out is a framework that would work in software engineering too.