Please stop buying big plastic bottles of laundry detergent

[ProfessorGAC]

56. Yes

There are a few commercial products for hard surface applications based on soap.
But the VAST majority are synthetic surfactant combinations.
Yes, it is a misnomer. Dawn (which is, as advertised, better than the average product) is a blend of sulfated alcohol salts & amine oxide. So are Palmolive & Sundrops. As is Ivory, but see below
The dish cleaning industry adopted the term soap for their products, unlike personal care & laundry divisions. For the former, we see body wash, not body soap. Tide is called laundry detergent not laundry soap.
For the dish side, the first national brand for home use was Ivory, which original was a potassium tallowate. The bar soap was the sodium version. (Potassium versions are less stiff and formulate more easily as liquid.) They changed to synthetic surfactants decades ago. That's likely why "soap" stuck.
A long-winded version of saying you are correct, it is a misnomer, chemically speaking.