Thoughts on spring Aeration- liquid 'Soil Conditioner'?

Been following this board for a few months. Learning and applying many of the expert resident advice (pre-emerg, winter weed cocktail, etc.)
This is my first year to attempt getting my lawn looking presentable. I couldn't find anything here on aeration. Most of the youtube guys appear to do this before spring fertilizer app.

This will be my 6th spring since acquiring home and have yet to aerate (mechanical or liquid). St Aug both front and back yards (shady in front, full sun back).

Looking for thoughts on benefits from our resident semi-pros. Can I get away with something similar to this: Liquid soil conditioner (looks to be just high potent soap)

Or just do it right and rent mechanical aerator from big box store- especially since I've yet to aerate?