I have a feeling this a very naive question...
The first chords nearly all books / resources tell you to learn are the "standard" major and minor chords. For example those here https://www.guitarhabits.com/the-8-most-important-open-guitar-chords-for-beginners/
Why is it therefore, that the "standard" E major (top one here http://www.guitar-chords.org.uk/e-major-chord.html
) sounds lower than the standard C major (top one here http://www.guitar-chords.org.uk/c-major-chord.html
) when E is above C on a scale / in a given octave.
Is because the "standard E" chord's root is in an octave lower than that of the standard "C" root?
If so, why are beginners told to learn these chords? Would not make more sense to learn chord shapes that make a sound that increases and decreases in pitch as you move from A-->F and F-->A respectively (like hitting the white keys on a piano sequentially would). Wouldn't that allow you to recreate tunes more easily? For example, and ignoring chord progression rules etc:
If on a piano I made a tune that went C-->D-->E-->D-->C, the sound would go up then down. The same would be true if I played key triads with those notes as roots.
If I did the same using standard chords on a guitar it would go up from C to D but then down from D to E.
Or am I missing something?