No that’s spreading misinformation.
The reason rescues won’t home to people with children is because they don’t know the animals background or can’t vouch for it or the ex owner won’t provide the information. If you volunteer, bond with a dog/cat (obviously within reason, not if it’s an XL bullie/guarding breed) then they will absolutely let you rehome an animal previously deemed unsuitable. I’ve helped rehome a Rottweiler to a family with children, he had an amazing affinity with DD. He literally bowed to her, he was previously adult only home.
The problem is people won’t give their time for a few weeks to build a bond BUT believe they have time for a pet. This thread proves they actually don’t or can’t be arsed.
People are extremely often lazy, dress it up any way you like but that’s the truth.
I grew up around dogs, cats, rabbits, fish and birds. DD has grown up around our dog and absolutely adores animals. She is kind and respectful and has no allergies.
If you ever feel the need to push a dog out, you can cause some serious issues with jealousy - your better off rehoming a dog than sticking it in a crate or room away from family members.
It’s not funny to acquire an animal and then get rid of it, treat it like shit because you got bored.