Ive been doing this for over 20 years and frankly find the term “generalist” objectionable.
If you want to attract new people to the profession perhaps more considerate language may make them appreciate the importance of the role they play.

Alternatively I’m just a grumpy old white man

Yet another unplanned outcome of the current Stalinist government’s march toward DIE.

The issue I am finding with our team is headaches and, fatigue as the air exchange is reduced and they do lots of heavy lifting.

well yeah, the OP stated that they had implemented these and was asking about gloves !

In my experience an expensive waste of time.
The use of gloves to keep hands warm will certainly help blood flow in colder conditions which can marginally help, but the only way to manage HAVS is through measuring, monitoring and ensuring exposure times are not exceeded.

Bearing in mind it's a non binding referendum, will wait and see if changes are likely to occur in the event of vote in favour.
On a personal note, I am very much on the fence as to whether its a good thing or not.

No they do not have to unless your risk assessment deems it necessary.

I did an ICAM course with Impac and can absolutely recommend it.