none of you get x in this scenario (prison) even though you'll be distressed
Er, if Ian Huntley explains that if he doesn't get access to children he'll be distressed would you provide him with access to children?
Male people having uncomfortable feelings does not equal serving them vulnerable, non consenting females.
There are many ways to meet the real needs of TQ+ male prisoners. None of them involve presenting them with non consenting females to use, whether this is for validation or for re offending.
What is in effect being said to the female prisoners is 'none of you get to escape x in this scenario even though you'll be distressed'.
You need to ask yourself why you are so terribly troubled by saying no to a male's desires and wishes - not needs - and how awful that will be for them, but have no difficulty at all saying that females should be highly distressed, afraid, made to share showers etc with intact males and risk/be assaulted.
You can only find logic in this if you find males are a much more special, valuable, more human thing than a female is.
And once you have done that, you have confirmed: you absolutely believe that sex is a dimorphic, fixed fact, you do not believe that any male is in fact a woman, and this is actually male supremacism. Which is unjustifiable.
No males should ever be in any female spaces and resources. Regardless of degree of transition, uncomfortable emotions, anything at all. None. No. Because as has been vigorously proven, if you say yes to any , if you say yes with gatekeeping, the next target is the gatekeeping. If it's any, then it's all. And due to people being naive and misogynist enough to buy into this, we now have women who have been assaulted and raped in order to placate a male person who would otherwise 'been distressed'. At being prevented from enjoying the assaults they carried out.
If male people are going to be distressed at being prevented from using non consenting females then they're either going to have to be provided with psychological support to deal with these feelings, or they're going to have to learn to manage. Because providing them with non consenting females is not an option.