Your feelings are yours and totally OK even if you aren't sure what they are.
Awesome T has warned me once that he had some things going on and if his phone rang in session he would have to answer it. He told me at the beginning of the session and it didn't end up happening. If there were ever a family emergency there would be no way for anyone to get ahold of T until the end of the session. IF someone were to interrupt our session for an emergency (OMG I am hearing his wife yelling up the stairs and flipping out on the inside) it would have to be huge. I am willing to say he would 100% call me back that night to check in on me, apologize and update me on whatever happened as well as rescheduling.
Even awesome T can be somewhat more distractable on virtual sessions. I remember one when he was in FL and a neighbor started mowing near them and he kept looking out the window. BUT he always gets dressed for session, Always has a space set aside just for the session (usually a kitchen table if there isn't an office available) and always goes through his pre-session rituals. During Covid he even went into his office for all of his virtual sessions so that clients could have that consistency even though it would have been easier for him to work from home.
Awesome T does have some loose boundaries but never unprofessionalism.

Flip side... as a parent if I were in T's position... provided my daughter was comfortable with her uncle and it wasn't true life or death I personally would have finished the session then cancelled remaining sessions for the day. Depending on the daughters condition the uncle could get her checked in and by the time she was in a room I could be there or they could wait until I was finished. My son was a head banger, so we had a LOT of head injuries. If there was an emergency that caused me to cancel on my clients I would follow up with any clients that needed it once the crisis was stabilized.

Long reply short each of these individually would bug me but I wouldn't say anything. All of them together would really upset me and I would have to say something.