Answered
no, it shouldn't.
Bitrate is it: The lower the bitrate, the higher the compression. You can export 8k 4 MBit/s videos, but they will look like crap, while the same bitrate might be sufficient for 1280x720. The file size will not differ, 4MBit/s roughly equals .5 MB per second.
Compare it with mp3-files for example: 320 kBit is a larger file than 128 kBit but better quality, you would never ask why the track is still the same length 🙂
That is why so often people do not understand why their videos shot with their mobile phones look awkward although they are 4k: Simply because they might be compressed too much (and/or by a bad codec) to reduce file size.
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