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Is it true that convolving a 3x3 matrix and a Full HD image is slower with FFT? [closed]

Is it true that convolving a 3x3 matrix and a Full HD (1920×1080) image is slower with FFT, than with normal for-loops? Because you have to do zeropadding to get to a power of 2? (with the traditional ...
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Information i can take from coeficient intensity map in DCT transform

What useful information i can take from the coefficient intensity maping after performing DCT transform?
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Artifacts in FFT

I recently realized that FFT's aren't perfect. Meaning if I take a signal and then take it's FFT, and then do an inverse FFT, the resulting output isn't exactly the same as the input. Here's an image ...