Does a higher amount of power always means efficient energy usage?

Kindly consider the following Image 

Power calculations can also differ based on the nature of forces, which are as follows:

• Conservative Forces: Here, work done is path-independent. e.g., gravity, spring force
• Non-Conservative Forces: Work depends on the path. e.g., friction

Formula for Power = F·v cos $$$\theta$

According to the question, force is perpendicular.

So $\theta$ = 90

and cos 90 = 0

Hence, the result turns out to be 0 i.e. no power generated inspite of force being applied.

In simple words,

Energy = total work done on an object.

Power = how fast the work is done on an object.

For example: Writing an article vs how fast you write the article. This sums up the exact meaning of both these terms.