The problems with modern shampoos, soaps, washing up liquid etc are more obvious when thinking about use on a boat where they will be directly discharged into the sea.
Stuff that doesn’t biodegrade, has plastics in it (as well as packaging) as well as many obnoxious chemicals is a very obvious problem (especially when the foam is very visible as it leaves your boat).
Of course these problems are also true in homes far from the sea, it is just we have able to ignore them more easily.
This article Plastic & Chemical free shampoo and soap ideas for travelling is a good starting place if thinking about this.
What it doesn’t help with is how much you can/should stock up with before heading off. Nor does it help with any recommendations for shaving or deodorants for example.