If your head director is aware of it and doesn't feel the need to address it then I wouldn't lose any sleep on it. Unless they ask for help, stay in your own lane and focus on your own ability to teach.
A big part of working as an assistant is that you may work with/under some less than stellar directors who don't want to hear your opinions or suggestions. Just a part of the gig. It doesn't matter if they're running a chunk up-teen times without actually telling the kids how to fix the issue. It's not your job (or place) to correct your coworkers or do their job for them. If they don't wanna hear it, they don't wanna hear it. Let them be bad. If it's assistant-to-assistant, I'd say worry about it even less. It's not your program, it's your head director's. If they don't see a problem, let it be. Your job as an assistant is to assist them in teaching their program the way they want to teach it - not your way. If you don't agree with their way, there are plenty of other programs - hell maybe get your own as a HD. Besides if it's somebody with similar age/teaching experience* they probably don't respect your professional opinion anyways, and I especially wouldn't worry about whether they do or don't.
Look it sucks. I've been there. I've worked with directors that count/put the met on the front sideline, that yell at the kids instead of providing instruction, that don't have any idea they could easily do a better job teaching. Hell some of them even think they're doing a fantastic job - that the only difference between them and those BOA medalists directors is the funding. You can be as polite as humanly possible and they'll still take offense at your suggestions. It's not your job to change them, only they can decide to change themselves.
A wise director would realize there may be a better way to do something and be open to hearing suggestions. An arrogant one thinks he already knows the best way, and refuses to even hear any other opinion. Something of a Dunning Kruger effect.
*As an aside, years spent teaching is no guarantee of ability as a teacher. If you're always looking for and accepting new ways to improve yourself, then yes, every year of experience makes you even better. Failing to learn and evolve your teaching process makes those years mean less and less - might as well be your first. There are kids graduating college nowadays with more effective instructional skills and teaching strategies than some directors who have been at it for decades. (Sure they'll still need to get better at other things like management, etc. But that's the easy part).