Regarding the safety aspects of this product. The clues are all there to point to something you should not trust.
When you purchase cheap imports (clue 1) especially manufactured in China (clue 2), you really don't know what you are getting. Even if it has a CE sticker/marking on the back, it could be a clone of a genuine product. The fact that it is supplied in the UK with a non UK plug is very wrong!.(clue 3) Two core wire means the product is double insulated( indicated by double insulation symbol on the unit) and if genuine, you must never replace the cord there would be absolutely no need to.
This product should be supplied with a UK plug/cable or designed with some kind of multi-national adapter suitable for use in the UK without modification. (clue 4)
Unfortunately it is very easy to produce fake products and have them imported to the UK. The only products I trust are from reputable manufacturers and are CE marked and/or UL listed. For UL listing the product will have a UL listing number 'E308802' which can be checked on the UL database
http://database.ul.com/cgi-bin/XYV/template/LISEXT/1FRAME/index.htm Global products are also tested under the CB scheme for country differences. This all cost a lot of money (£5000+) AND even then the product delivered could still be a total clone.
This is the price of everyone (including me

) wanting everything as cheap as possible. Quality and safety cost money.
Regarding the batteries?? Lithium Ion technology is safe when used properly. There are millions of batteries in use, safely. The incident where the batteries on the aircraft caused a fire, will have been caused by bad design of the safety interlock/no fire suppressant. The fact that the incident happened is proof. Either the battery went short circuit, or overcharged, or a manufacturing problem. Once they find and fix the problem, it will be 'safe', but everything fails.................eventually!!