Is extremely random, uncontrollable and inappropriate mind flashes and thoughts, despite them being unwanted, a symptom of adhd?

For context, I have gotten diagnosed with level one innatentive type adhd, and my mind is constantly loud, annoying, and often times inappropriate despite having no control over those thoughts. "Inappropriate" meaning having flashes of NSFW that could contain people I know, friends, family, like literally anyone. The thing is, these are obviously not in my control, and I hate them so much. It makes me feel so shameful of myself and my very loud brain just can't control them, it feels like I'm mentally pushing back on it when I feel it surfacing my brain. I have no idea why I have these mind flashes, and it can feel mentally painful at times. I consider my mind very powerful, I have a powerful imagination. But it can be too powerful, and even when I'm focusing, these random flashes happen every day, and I can rarely stop them. Really the only way I can stop them is by putting on youtube or scrolling or maybe putting on some music.

Because a symptom of adhd is being impulsive and having a loud mind, could this be a part of my adhd?