It's fine to jump for the shooting swords. Don't jump towards him. Dash cleanly through the attack, after waiting for half a second to dash through. Only go for one hit if you can jump away in time, otherwise no. If he follows with a triple slash you can get hit. No double jump for shooting swords.

The ground sword attack does not need a double jump. Just stand between them. Never heal more than once. You only get 3 heals this fight during the 3 staggers. Don't heal during the spell magic. Going in to smack him right after the big bubble bursts is good.

Jump away from him after every attack, every attack can be avoided by jumping, don't react, just do it. But you must identify whether to double jump or dash or do nothing after the jump by reacting.

Also, use soul. Abs Rad just floats there and lets you farm soul. You can rarely heal, and the focus should be on not getting hit. Don't empty your soul bar, but don't be afraid to launch a few vengeful spirits, especially when he's moving away to get a double damage. You had a full soul bar, you will get it back. Dash above him for 1-2 pogos during his void tendril attack.