Capacitive divider circuits as drawn by Bandersnatch are a respectable design. The safety critical component is the brown capacitor he marked with a question mark.
Whether or not the lamp is suitable for a workshop surely depends on the workshop. I'd be happy to use one in an indoor hobby room, less so in my garage workshop, and definitely not in a bathroom.
It's a pity Mike P hasn't been able to provide more information about his faulty unit. In the absence of evidence we can only guess what was wrong with it. I suspect an insulation fault put the metal sleeve at 40V DC. You would get quite a bang from a 100uF capacitor charged to 40V. And 40V is sufficient to give you a jolt if you have damp hands. Try licking the terminals of a PP3 9V battery!
You do have to be careful with this stuff. Many years ago I read of an unusual fatal accident resulting from a 30V DC shock. A colliery worker running to get out of the rain fell against a sheet of corrugated iron that in turn contacted an uninsulated low-voltage main. The poor chap was very unlucky: he was wet, sweaty and then the iron sheet maximised the flow of current due to the size of the surface area connection it provided.
Knowing that 30V can be fatal didn't stop me building a small Tesla Coil to make 1m sparks, but I only operated it after writing a risk assessment. 600W at 6000V; about 1MV out; x-rays; ozone; arcs; potential to interfere with a pacemaker etc. The high-voltage output isn't particularly dangerous because it's low current, but if the spark jumps to a mains connection like a lighting circuit, mains current can flow down the ionised path. That's very dangerous.
The fun part is the effect a Tesla Coil can have on a computer. From the patio, it turned on my daughter's Apple which was indoors 5 metres away and unplugged from the mains. I found the computer stalled on a blank white screen with the cooling fans full on. I had a bad few minutes waiting to see if would reboot successfully. Please don't tell her – it's a Secrecy in the Workshop issue.
Cheers,
Dave