[vram22]

>I wonder if we can find medium-based influences on other scripts, say, Roman and Arabic.

Interesting question. Cuneiform may be one:

https://en.wikipedia.org/wiki/Cuneiform_script

Excerpt from above page:

Cuneiform script (/kjuːˈniːᵻfɔːrm/ kew-nee-i-form or /ˈkjuːnᵻfɔːrm/ kew-ni-form), one of the earliest systems of writing, was invented by the Sumerians.[1] It is distinguished by its wedge-shaped marks on clay tablets, made by means of a blunt reed for a stylus. The name cuneiform itself simply means "wedge shaped".[2]

I remember reading about it in Social Studies in school :) - along with the Indus Valley civilization and maybe one or two others.