It looks like Uptime really don't know anything about mains plugs...!the blue wire is connected to the L/+ bit and the brown one to the other connector. surely they should be connected the other way round
Yes, they have got those two pins the wrong way round, the brown ( Live ) wire should be on the pin marked "L/+".
When you swap to a normal 13A plug, wire it in the standard layout ( brown Live via fuse, blue Neutral, green/yellow Earth ).