I don't think it's just the detergent. Modern clothes are made of shitty, synthetic fabrics. This is also why most people don't have to iron anything anymore. The tradeoff is microplastics[1], comfort/breathability, and durability.

Classic example is jeans. Modern jeans are ridiculously stretchy compared to "real" cotton denim because they contain tons synthetic fibers. However I run through jeans at an alarming pace - even compared to when I was a kid. They wear quickly, tear easily, and generally don't last.

[1] https://www.pbs.org/newshour/science/laundry-is-a-top-source...