Hi
My approach to this sort of resistance would be to ask staff who are resistant about thieir anxieties and what they suggest might be the impact of them or others, of making what really amount to small disclosures. There should be an onus on them to provide such an argument. Vaugue is not a lie. If I say that I have an interest in classical music, always read the newspaper and like to ride a bike these are quite vague but are also fact. I can build on this and say I have a growing interest in the work of Schubert, read The Guardian and plan a cycling trip across country to raise funds for a cancer charity I am adding more detail but still not making anything like a major disclosure.
Secondly I would ask them to consider the NMC code and the requirement to "always practise in line with the best available evidence". To refuse to engage in the intervention is potentially a professional failing. You can look further at The Code such as the requirement to work co-operatively to reduce risk and also to deal with differences of professional opinion by discussion and informed debate. I could go on.