I can't say if it's commonly accepted wisdom, but I personally use dish soap on my cast iron when I need to (i.e. if it's too greasy). I think this is confusion that stems from dishwasher powder, which you should definitely keep away from cast iron (actually, a little might be OK as long as you don't run it through the dishwasher; not sure, never tried).
If (modern) dish soap washes your seasoning off, it wasn’t seasoning, it was just grease and grime stuck to your pan.
It is true that dish soap used to be much more aggressive, and those soaps can cause issues for pan seasoning (and also for your skin…), but those soaps haven’t been sold (in any meaningful quantity) in decades.
I always use dish soap, and it will definitely take off any oil that hasn't been polymerised.
I think the people who believe this (and use cast iron) probably haven't seasoned it hot enough or have scraped off the seasoning close enough to the metal.
I believed this before reading the article.
Is it commonly accepted wisdom that this is bunk?