margaretjohnson - "Patients don't have to acknowledge them,"
Up until the point that they are "re-educated" or reported and denied services for being "transphobic".
"I don't suppose many will even notice their names"
FFS! The whole point of these name badges is to help patients recognise and remember individual members of staff. By your reckoning, they might as well ditch the names in favour of "Job Title + My Pronouns". Are you serious? Do you not understand why this scheme exists?
With one swift move you have appropriated the purpose and value of this whole scheme, from something invented to help patients remember and recognise staff and their names to something intended "validate" trans staff by associating their appearance with their "preferred" my-fantasy pronouns.
Nobody refers to another person using "him" or "her" or "she" or "his" or "they" or "them" when talking directly to them. This is all about co-opting patients in your insane culture war. Any NHS body going along with this should be thoroughly ashamed of abusing patients in this way.
"However, if they do notice it then it will help to normalise not assuming pronouns"
You "don't suppose many will even notice their names" (the whole purpose of the badges) but they are going to the notice a list of pronouns cluttering up the badge? The pronouns are a distraction and they do not benefit the patient.
"Normalising not assuming pronouns" is a political agenda - there is no place for this in the NHS. The NHS is supposed to be non-political.
You are willing to fuck with people's minds while they are unwell - just piss off! Some patients will already have psychological problems - how the hell is it going to help a confused, anxious or psychotic patient to gaslight them like this? To deliberately distort reality? This is callous, cruel and anti-therapeutic. Health care staff are not supposed to be members of the "Hindering Professions" 
"and may also help NB NHS workers feel valid"
Any NB NHS worker who prioritises their need to "feel valid" over their duty of care to patients is in the wrong fucking job!