The only amps that you can be sure are always class A are single ended amps because their topology makes them always class A; they cannot go into class B since the output devices must be on all the time.
Push/pull amps are different and what you read is true. Most 'class A' push/pull amps go into class B at some point, especially into lower impedance loads. Look at the Pass class A push/pull amps. They are rated at 30 watts and they are class A at 30 watts but all the tests show they actually develop about 70 watts but by then they are class B They are rich AB amps and Pass is honest since he only calls them 30 watts where they are class A.
It's hard, expensive and difficult to make a push/pull amp of any power that stays class A essentially all the time. The only one I can think of was the Mark Levinson ML2 amp of decades ago It was huge and yet only rated at 25 watts 8 ohms. But it had huge bias that kept it class A all the time even doubling into low impedance loads. It was 50 watts 4 ohms and even 100 watts 2 ohms and I believe it still stayed class A.
But stop and think even an 85 dB speakers only needs 1 watt to play that loud and 10 watts for 95 dB. So the Pass 30 watt class A amp is still class A when it's so loud you shhould not be in the room. It's only split second peaks like banging a piano where the amp goes out of class A and then for such short times the amp is in class A probably over 98% of the time and you don't notice the spit seconds it's class B. Most of us were super happy when we got test scores in school over 95.