I know that the second inversion of a chord is mainly used in:
Cadential fourth and sixth
Passing fourth and sixth
Neighboring fourth and sixth
but I haven't quite understood one thing: therefore, is the cadential fourth and sixth found in a conclusive position and thus always characterized by the movement I(46) V I? (of any key, obviously)
As for the passing fourth and sixth, what succession does it have? I V(46) I6?
I do not use these terms, but by intuition, the fourth and sixth passing chord could be the one found in the successions I-II-III and IV-V-VI, ascending and descending, in which the chord found in the middle, i.e., the II and the V respectively, can be harmonized in second inversion.
The fourth and sixth chord of turn should be the one you indicate, i.e., a passage like a plagal cadence, whereas regarding the fourth and sixth of cadence, I think there are no doubts.
I know that the second inversion of a chord is mainly used in:
Cadential fourth and sixth
Passing fourth and sixth
Neighboring (turn) fourth and sixth
but I haven't quite understood one thing: therefore, is the cadential fourth and sixth found in a conclusive position and thus always characterized by the movement I(46) V I? (of any key, obviously)
The passing fourth and sixth, on the other hand, what succession does it have? I V(46) I6?
And the neighboring fourth and sixth? I IV(46) I?
Yes, it is as you say... the cadential 4th and 6th usually brought a flourish, and the soloist would show off their skill and harmonic knowledge by improvising a cadence, precisely, before resolving on the V and then on the I with a final close. Today, final cadences are no longer improvised, but it is a shame...