To get back to the question from Torres.
Of course the 'employer' is legally responsible - not much help practically but can be important when trying to engage managers who reject responsibility.
Safety practitioners should only rarely 'do' RA, mostly they would contribute (in a number of ways as follows), but they do need to be an expert in the process, techniques, psychology (there is some), marketing and possibly the overview and monitoring.
Practically RA needs to be (and probably has been) done by relevant managers or supervisors. Whether that gets recorded in any useful way is another question.
In the ideal world, a good assessment would involve the relevant manager and an experienced respected operative sitting with a facilitator (the safety adviser), and working through the mind map of safety problems (ok 'hazards' if you must) which relate to the task. The 'task definition' is crucial - too small, you will be crushed by the weight of beaurocracy of too many separate tasks, too broad will lose detail and become a nonsense in itself.
In my experience the best use of the SA is to capture the content of this discussion (mind mapping ideal!) and unfortunately may also end up doing much of the writing stuff down. The art of transfer across to the manager is not easy . .
The SA can also guide the emphasis to producing good and clear solutions from this collective session - these may already exist, and the process could be most beneficial by really reviewing these critically.
The outcomes should be
(1) easy-to-follow operator instructions, (safety procedures, rules, method statement)
(2) an action plan for manager - specify, obtain, replace, train, inform, supervise, check, check, check, manage - put all the support in place for the procedures to work.
(3) the RA record (mind map notes, scribbled pictures, forms, whatever) which is for filing (by the manager).
NOT just an all-in-one 'RA Form' which is usually of limited value.
The SA can help with questions such as 'is this actually dangerous?' (ie. we've never had an accident yet . . ) and the responses will be evidence-based ("there have been close calls, other employers have, the statistics show") etc.
The SA can also help by coming up with sensible and useable ways for the process - devising appealing and easy-to-use documentation templates, proformas, using appropriate and simple checklists, anything at all to ease the pain. See things from the manager's point of view. Help them to make it seem 'oh - so simple'.
Back to responsibility - avoid anything suggesting 'the signing of' RA documents. It may well be resisted by managers, and YOU don't want to be doing it, and it's not a legal requirement anyway. However, a section to identify the various contributors by name will have a purpose when reviewing. It also emphasises the communication and 'shared' role.
Flexibility in reviewing processes is also helpful - is it really necessary to insist on annual review for everything as some do? Some tasks may be special one-offs, some may be ongoing for ever and a day. Agree at the session what review schedule is appropriate and who will be doing it (the manager!).
This process also counts as 'training' for the manager - remind them that they are (after some practice perhaps) competent and capable of assessing risk.