If i was searched by anyone who identified as a woman rather than was a woman and I did not have a right to refuse I would regard that as an institutionalised asssault and abuse.
It is that simple. I would feel like my rights had been violated. Whether the law was in law with that or not, would be beside the point. Thats how it would leave me feeling.
Whether people feel the law is just and there for the benefit of society as a whole is important. Moves which make sections of the public feel like they are exposed, at risk or removes their dignity are recipes for disaster.
This would undermine trust in the police on an enormous scale - and disproportionately amongst working class /ethnic communities.
Frankly, that makes the entire idea ill thought out and doomed to cause huge problems from the work go.
I would like to point out this case that has been recently in the news:
www.stokesentinel.co.uk/news/stoke-on-trent-news/police-officer-accused-raping-13-2169122
Police officer accused of raping 13-year-old 'joined force to exploit girls'
Ian Naude, 30, has denied charges including rape and sexual assault
This guy ADMITS having sex with the girl, but is using the defence that she consented. When you read his background and why he joined the police the whole case is utterly revolting.