They do have a lot more soft power over the government than many give them credit for though, plus some (so far) unused actual power that they only don’t use by tradition (which these days is more clearly a bad idea to rely on than ever). Plus all there’s all that money that goes into the pageantry of it (royal weddings, etc).
I feel like it’s be one thing to let them keep their royal titles, but they shouldn’t be enmeshed with the state in any actual way imo.