Originally purple wires would have been a 50amp fuse... which is miss-rated as they were actually a 25 amp fuse (same as horns). The fuel pump will draw a lot more than 5 amps. White wires are typically unfused, but sit on the opposite side of a 30 amp fuse for the green wires. (wipers, gauges, heater) Lucas 30 amp fuses were actually rated at 17amps. Lights were not fused. On Jaguars they are, on a 30 amp fuse. if you want to take the load off of the switch, you could always run the main and high beams through a relay.
I have found that the most common reason for the smoke coming out of wiring harnesses is confusion over grounding. (and it's awfully hard to get the smoke back in, once it's escaped!!) This isn't an issue on Tigers as they are all negative ground.. However, series 4 and earlier Alpines are POSITIVE ground... The important thing to remember is, ground is ground, polarity be damned. The BLACK wire always goes to ground! This was such a problem on Big Healeys that the factory started fitting an in-line fuse for the license plate lights on the 3000 Mk3 because confused overs would connect the red power feed to ground, instead of the black wire.