Do you believe that the current monarchy is politically neutral?
Yes they’re wealthy and have exercised power that wealth gives you but they’d still be wealthy if they were not a monarch.
If we want to talk about the power that money brings you in politics then we’re having a different discussion, a discussion that is not UK specific.
But yes the monarchy as an institution has not involved itself in political matters in living memory, and has not exercised political power (executive orders, vetoing bills) in centuries.
Parliament is the sovereign political power in the UK. If they wanted to they could pass a bill today that dismantled the crown and the monarchy.
[1] https://www.theguardian.com/uk-news/ng-interactive/2015/may/...
[2] https://www.theguardian.com/uk-news/2022/jul/14/queen-immuni...
I think if you made a list of how many laws and bills have been influenced by private lobbying and donations you’d have an inconceivably large list.
My point earlier is that the wealthy get their say, the monarchy as an institution hold the same amount of political power as the wealthy in the UK, but they do not hold direct political power.