For what my advice is worth, DON'T go to 24V Halogen bulbs, unless you ensure adequate ventilation of the lamp housing, and availability of replacements.
Most certainly, do NOT feed a mains voltage lamp via the original wiring and switching. It must be upgraded to mains voltage to be safe.
My oriental lathe, came with a 24V 50W lamp, (running off the low voltage safety interlock supply) but the lamps did not last too long, and the bulbs seem to be unobtainable in Peterborough, UK., but bought ten from the supplier of my lathe, when I had the chance.
Mine used to fail quite regularly, until I filed a couple of diametrically opposed slots, with a 5/16 rat tail file, in the edge of the "reflector" to improve ventilation. Can't remember when I last changed a bulb (long may it remain so!) So obviously, the original set up allowed the lamp to overheat.
The protective glass needs to be removed fairly regularly to clean off the oil and grease that collects on it. The blue swarf is a bit more difficult to shift!
Have also had a couple of LED lamps which flickered at full brightness (no failed LEDs), which I ascribed to part of the bridge rectifier going open circuit, so that the LED is only fed on one half of the cycle. So compact that not possible to locate components for check or replacement. PITY!
Have two mains voltage (ex Industry) worklights on the Mill/Drill, and one over the Fitting bench, which now have cool and bright GU5 fitting LEDs; so far so good!)
Recently fitted a £9.99 Lidl LED strip light above the lathe, this gives a light level seemingly as good as the ten year old 65W Ceiling mounted fluorescent tube. Resisted the temptation to go for the maximum allowable and join 3 together. Would probably need dark glasses to work, if I had succumbed.
Howard