I use soap every wash on well-seasoned cast iron too, no problem at all. You need to make sure to wash all the soap off, and dry it well -- or at least I believe it's important to do that, I guess since I always do it, I could be making assumptions too, maybe it's just fine if you don't?!
But yeah, the idea that you have to leave the cooking grease and fat on cast iron and aren't allowed to use soap to cut the grease and get it off.... is an odd one.
I use a chainmaille scrubber with dish soap. Works well.