perspicacious:
Well WB, some of the existing kit would be largely redundant now, but it is difficult to draw a line these days with the shorter life expectancy of the inevitable battery operated tools used by trades and their initial and replacement cost.
As to what the employer would provide to enable more productivity and the tradesman (sorry Kerry and Zs!) uses is debatable. If your employer didn't supply you with an impact driver, would you persist and use a screwdriver or would you use your own "home and foreigner" kit? I doubt if I would have needed three carpal tunnel operations (and resisting having a fourth) had I an impact driver years ago.
An obvious addition would be PPE and a means of proving live/dead as suggested above.
Missing from the original list is some means of "Rawlplugging" but joist drilling and chasing is expected, along with horizontal spirit level and vertical plumb bob.
This leads onto the use of an SDS drill and for the cost, a laser level.
As to actually testing the installation and certifying it, this has been a requirement since before 1927 (I'll look up actual date but supper is calling) and 1939 respectively. I'd respectfully suggest that even if the test kit and forms were available from the employer, few employees would either know how to use it or be able to compile an EIC so possibly academic.
Missing from the original list is some means of "Rawlplugging" but joist drilling and chasing is expected, along with
ebee:
It flumuxes me to find how many do not know how to wire a plug these days
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