Why doesn't streaming from laptop on TV have the same quality as playing directly from the TV?

I've connected my laptop to my TV through HDMI, but I noticed that when I play a video (from youtube for example or a streaming website)  from my pc it doesn't have the same definition and frame rate it would have if I had opened the same link from the TV browser directly.

I have to download the movie/video, put it on a USB drive and load it on the TV from the pendrive.

Is there a way to load videos directly from PC but as if the were loaded from the TV?

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