What the watt definition specifically states:
Consider the watt definition. The word "instantaneous" is not used so there is no valid reason to think it is implied. If we want to be picky and look closely at the definition, we will notice it is actually a unit value so we have a unit of work over a unit of time. We have one Joule of work expended/converted/exchanged over one second of time (J/s).
One second is hardly instantaneous.
And this is the point you don't seem to comprehend.
Sixty miles per hour doesn't mean you have to drive for an hour.
It isn't about duration.