Earlier quoted context omitted.
The reality of many people who work from home is that this is the case anyway - the children are around and make some noise, because they live. Making this transparent and show who the kid is I think makes it actually easier for the other people in the call to feel empathy. If that is unprofessional, then so is working from home, I guess.
I agree they make some noise, but having them in your lap during a conference call is over the line imo. If you have kids in the house then you need an office with a door. I've worked from home for 3 years now with 2 kids aged 0-5 and they understand that when the door is closed, Dad is at work and they don't come in.
You do understand that sometimes the alternative to the kid sitting quietly in their parent's lap is the kid screaming their head off on the other side of the home office door, right?
Personally, I'll take the kid sitting in the parent's lap as being the lesser by far of two annoyances, thanks.