Is distorted calligraphy used in the season 1 opening of Ushio to Tora?
I guess you could describe this as calligraphic. I don't know enough to say whether this is what a calligrapher would consider genuine art vs. just being writing with bold and swishy brush strokes.

This writing doesn't "symbolize" anything, though - it's just the lyrics of the first verse of the OP theme as they're being sung.


混ぜんな mazen na
危険な kiken-na
やつらが会いすりゃ yatsura-ga ai-surya
土壇場 dotanba
土壇場 dotanba
じゃないか janai ka
混ぜるな危険のねんごろ mazeru na kiken-no nengoro (written bottom-to-top)


I don't want to venture a translation here, but see e.g. Lyrical Nonsense for one candidate translation.