Right side drawer – text and icon alignment

I want to give my users option to chose between right and left drawer and I'm wondering how to align elements in a Left-To-Right language. Bellow there are few examples but I want to hear your opinion on the alignment.

Additionally, should I also offer alignment option? For example, if a left-handed person chooses a left drawer, their thumb would obscure the icon and maybe text, and they would have to move the thumb to reveal the option. But if a right-handed person chooses a left drawer, the alignment is ok. So, I could offer right drawer with left and right alignment and a left drawer with left and right alignment. Or am I overthinking this?

design 1 design 2

For reference, this is how the standard left drawer looks

standard design