A long time ago, I followed a VP around for a day, was in every meeting but one. This isn't an exact analog of course, but what the VP "did" all day was lilsten to other people talk and tell them to carry on. Every presentation was highly "sanitized", he didn't make any decisions, he was "managed", I'm pretty sure he knew that. All day, talk talk talk. It was exhausting to me, and pointless.
I really think most of the time, a President is similarly "managed" by underlings, if a decision is to be made, the information provided is tailored to make one decision obvious.
A President nominates over 4,000 people to various positions, he maybe knows of 30 of them? The rest are dug up by his staff. What other decisions does he make? Whether to sign legilation or not? OK, done for him, usually obvious anyway. Attack "X"? Usually done for him by others. Give speech? Written for him.