Some of us who have either been forced to grapple more personally with the issue or those with more questioning minds, realise that professionalism is nothing. It means nothing.
In your mind you think. 'Oh. Mr Tom/Dick/Harry is extremely ernest. He's extremely professional. He smiles. He has a wife and daughters and a golden retriever, he rescues cats from trees, he took a long time to achieve this position' etc. etc.
To us we realise he is first and foremost a man, end of. And actually the best predators rely on and sadly weaponise this sort of trustful naivety. Let me tell you that the best paedophiles are very sociable, likeable, charming, competent, accomplished, they do good things, get involved in all the spheres of life that are open to them. This is the best way to successfully get access to vulnerable women and children without anyone being or becoming the wiser.
Now, does this mean every man is a predator? By no means. But it is not 'ridiculous' to want to avert any chance of harm by avoiding a male presence for intimate care, especially around particularly young impressionable often non-verbal children.
In schools I think the risk can be mitigated more, because children can be taught physical awareness and there is less need or justification for alone time with children. Red flags have a greater chance of drawing attention. Still, sadly some risk remains