Polarisation is a real issue. Most table lamps are single pole switched, and we do not have the concept of split phase like the Americans do with their 240V appliances. The same applies to other appliances too.
The split phase thing isn't an issue here for that, you'd never see a 240V table lamp. Our 240V circuits are limited to large stationary appliances like electric clothes dryers, cook stoves, electric hot water heaters, built in electric heat, central air conditioning and stuff like that. These things are either hardwired or connected via a special receptacle on a dedicated circuit.
Amateur Radio Linear Amplifiers are a case where they use a special receptacle in the USA.
Not directly on topic, but a trap with some devices designed for such service is where they use capacitors between each "hot" connection & ground.
They will work OK "out of the box" in 240v "Active & Neutral" systems, but the capacitors are usually specified to be well inside their ratings only in the designed service, where they have 120v across them.
Unfortunately, if used in Australia, NZ, UK, EU, China, etc, one cap has zero volts across it, & the other, the whole 240V.
Caps, being more rugged than we often allege, survive for years, but will eventually succumb.