Earlier quoted context omitted.
This is not the case. While some inexperienced composers/arrangers/scorers may transcribe 3/4 pieces in 6/8 to make the score look better, it is a fundamentally incorrect thing to do. 3/4 has one significant beat per bar: ONE two three | ONE two three - Think any waltz you've ever heard. 6/8 has two siginficant beats per bar: ONE two three Four five six | ONE to three Four five six - Think Follow the Yellow Brick Roa…
> ONE two three | ONE two three This phrase also has two significant beats. There's just a barline in the middle. See my point?
If your phrases really go ONE two three FOUR five six then notate your piece as 3/8. 6/8 is for ONE two three Four five six SEVEN eight nine Ten eleven twelve, where beat four is significant, but not as significant as beat one.
Of course you do have patterns of bar phrases, not all first-beats-of-the-bar are equal in a larger piece, and where you draw the line between a bar and a phrase is ultimately a matter of taste and judgement. But a player will absolutely understand 6/8 and 3/4 differently; a run of quavers in 6/8 is ONE two three Four five six, a run of quavers in 3/4 is ONE two Three four Five six.