How much autonomy do you have over your schedule?

I had an interesting conversation with an investor yesterday around how people spend time. There are so many tools that promise to make your more efficient and give you back more of your time - but can something like this truly be effective wall-to-wall within an organization with all of the power dynamics around human behaviour? For example - a senior manager can effectively dictate to their subordinates what time a meeting should be at or how priorities need to shift. But can software tools create behaviour change here or are line workers beholden to the culture of the teams that they work on? I'm curious to know - in your team/organization, how much autonomy does everyone have over their schedules? Are priorities for time management top-down, bottoms-up, or entirely adhoc?