it's very hard and imo super low on the list of priorities for what you'd use when playing music in real life. it's much more important to identify the chord progression + then be able to identify the inversion based on the bass note. the key word is in context. identifying random inversions in isolation doesn't help that much in my opinion.

But still, chords in second inversion sound so mysterious and irresolute as compared to the root position... it has this Chopin feel to it.

I wouldn't exclude them from my list, and yes, they sound totally different and you will hear it. But as @Dima G was saying, put it lower in your list of priorities.

Definitely @Dima G said - hearing the bass note really helps with this exercise.

It depends on the human

I am still not sure. I think so, but there are days that I am pulling my hair out over them. I can generally recognize a root because to me, at least, it feels less wide than a 1 or 2. But I am still often hit or miss over 1 vs 2.

Dima G is right--they should be low on your priority list.

I'm still struggling with this one
Hope that progress will come with exercice😊

@Cuantas Vacas is an inversion.

I'm afraid so.....especially Jazz musicians

yes, try listening to each individual note that makes up the chord and their interval distance. for example a major chord in root position is M3, m3 together you can hear a p5 between the low and highest note. then if you go to the 1st inversion it goes m3,p4 and then you'll hear a m6 between the lowest and highest note. I started writing down these in my own little cheat sheet and now can hear the inversions after a while.

And @Colin Aiken can hear me...

Just barely, my old ears don't work as good as they used to.

@Michael Valenti thanks!!!