I noticed in size 32 of nautilus icon that there is an inconsistency. I always notice that it is a little bit larger than other rectangular icon.

terminal app compared to nautilus

I went and checked the template and indeed it is larger by 2 pixel. Also if it was taken from a rectangular template then it is already far from that template and if it is the square template then worst because not the rectangular is scalled from the 224x224 to 208x208.

I made this initial adjustment to make it more grounded to the rectangular silhouette. The small pictogram is transformed from a pill shape to a more super ellipse shape.

before:

after:

Also noticed that there is not pointy corner on my initial adjustments, it is more rectangular.

the template

it is also far from the square template if indeed it is based on that template:

folder icon (WIP)