I have a pair of similar fuse boxes in my house, both 4 fuse versions and both supplied from their own RCD, nothing wrong with them, other than to fit a RCD it would have to cover whole box so with a fault you have no power, because I have two boxes I can get away with it.
In theory the DNO should fit an isolator so you can switch off supply to change the box, practice around here is electricians break the seals and the home owner then phones up DNO and says the electrician has fitted a new consumer unit and I note now the seals are broken. And they will normally replace next time meter is read.
If you were to go by the book, then DNO disconnect, then electricians fits new CU and then tells the DNO who will insist he is present when re-connected so costs a fortune.
So what really happens vary from area to area. Where there is a history of electric theft they are hot on broken seals, but other areas they don't seem to bother as long as you tell them broken, rather than they find it broken. But local electrician will likely know what local DNO is like.