In the opposite, all BMW automatics I have driven (prior to the 8-speed ZF and Aishin autos they use now) had extremely lethargic tip-in*, which felt dangerous when trying to pull-out into traffic. The solution was either to mash the throttle to the floor (and then back off quickly), or put it into sport mode, and switch back into normal mode once into traffic.
Now that I think about it, all of the BMWs 8-speeds with good throttle tip-in have been turbos (current 3-series, 1-st gen X1, 2nd-gen X2). I did get a 320 non-turbo loaner with the ZF8, and it also had a lethargic tip-in from a stop. It's been decades since I've driven a turbo, and to me it's weird that the normally aspirated engined car felt laggy and the turbos did not.
* compared to my manual BMW, manual Civic, manual G20, auto Mazda5, auto Honda Odysey, and every automatic Japanese or American rental car I've ever driven.