Whatever your intention was, the outcome was to position yourself as somehow being 'kinder' than a group of women you seem to have a particular perception about and seem to disagree to some degree with.
You didn't actually do anything more than say 'I'm alright Jack', even though you don't believe that you 'come on here' with that attitude.
You expressed a view about changing rooms that also doesn't reflect the material reality of changing room availability today. There ARE many communal changing rooms. Your opinion didn't address this existing situation at all, it ignored it.
Of course, trans people have a right to be considered. They do not have the right to be considered to be the same sex category that they have identified as though. I would ask you to judge just how many posters on this board declare very clearly that trans people should not be considered in any way. If you find any, please feel free to tell them what you think.
Instead, you will most likely find many people stating that options should be provided for people with trans identities, however, that in some instances sex needs to be prioritised.
The effect of this statement in your first post, "I'm tired of being fed the line that somehow trans people threaten women's rights and I'm tired of being told I'm somehow simple or ill-informed if I do not share the anti-trans rhetoric.", was to position any person who does see not only the 'threat', but the actual changes to women's rights as being 'anti-trans'. Perhaps you didn't consider your words at all in your hurry to distance yourself from people who disagree with you on some things.
While you declare that you don't feel your rights, personally, are being eroded, you really are as 'ill-informed' as you have been accused of. Very clear examples have already been brought up but we can see this in what has happened in prisons, in women's refuges and rape services, in hospital wards, in sports, and in the forced provision now of mixed sex 'single cubicle' toileting and changing facilities. Which you have made very clear that you, personally, are happy with. So, fucking what. Did you really ever think of the girls and the women are are not happy with finding a male person in a space they had believed was single sex?
Do you honestly think that in those instances, you are being 'kind'? Far from it.
But seriously, if you don't care, go use the mixed sex provisions and feel great. Let those who do need the single sex spaces campaign to make sure that they are single sex without your censuring and intentional or not positioning them as 'anti-trans'.