Please let me know if I read over something, but since you're paying to embedded the image, doesn't the displaying the image on your website rely on Imgembed's

Please let me know if I read over something, but since you're paying to embedded the image, doesn't the displaying the image on your website rely on Imgembed's servers? I'd be worried about the effects using an Imgembed image would have on the loading time of my website. What if I wanted to resize it? Recompress it?