Just my two cents here on the general principles of suspending someone from childminding and how much you can tell the parents, since I've worked in a related field to do with safeguarding before.
Imagine you are a childminder, and someone has accused you or a member of your family of something which has to be investigated by the police or social services. For example a four year old has a fingermark bruise on their leg and tells their Mum you hit them, or a three year old boy is playing with himself in the bath and says your teenage son does that too him too. It may all have an innocent explanation and be children letting their imaginations run wild, but if the concern is passed on to children's services then they'll have to look into it.
And if you have potentially assaulted a child, or if your teenage son has behaved inappropriately with a little boy, then it's hardly safe to go leaving you in sole charge of numerous small children while the investigation is carried out. Imagine your childminder casually mentioned that the other week they were accused of assaulting someone and the police were looking into it but she was sure it would all blow over and yes she's fine to have your DD/DS for an extra hour tomorrow. Yes it can take a ridiculous length of time to investigate these sorts of concerns, but that is largely down to balance of risk and police/social services resources - they're looking into dozens of cases of assaults and other more serious crimes, and family abuse and predatory abusers who have continued access to children and they only have shoestring resources, whereas with you not minding and the allegations being relatively minor the situation is "safe" for the time being. That is a horrible situation for you still, but some delay is understandable.
While this is ongoing, what would you expect the parents of the children you look after to be told? Obviously the parents who raised the initial concerns know the details, but otherwise, how much do you want to tell them all? Maybe you would want to explain that an allegation of assault has been made against you, you say it's not true and you're sure it will be all sorted out, but the police have to look into it. But maybe you really wouldn't want that becoming public knowledge in your local community. And what if the allegation was one of sexual assault against your teenage son? Would you want to tell people that? Would you even want to tell people he was the reason for the suspension, rather than it being about you?
And the agencies involved have to protect your personal information - unless they need to tell someone the details for the investigation to be carried out, they're not going to casually inform all and sundry about the nature of the allegation against you or how their investigation is progressing. If they did, that would be an extreme breach of your privacy - and if the allegation turned out to be unproven, the suspicion could still linger against you. That is why they have to be as vague as possible when dealing with anyone who isn't directly involved in the allegation.
And Ofsted do give consideration to people losing their childcare when making a decision about suspending a provider - they have to formally consider the impact on the provider, parents and children. It's an extreme step that is only taken where they consider there is a real risk of harm to children and that preventing the childminder from working is the only way to protect them. As much as anything else it takes a lot of time and effort to suspend someone, have all the meetings, liaise with the other agencies, service the notice, inform all the parents, carry out monitoring visits to make sure they're complying with the order. Then they have the childminder and half the parents writing in to complain about the suspension and they may have to defend their position at a legal tribunal hearing which costs a bomb in legal advice and representation. I very much doubt they do it for fun.