Chinese stuff is ok if its battery operated but when its mains its a whole new ball game and sometimes there stuff does not meet safety standards, more so with those cheap 70s transistor radios that use a two pin shaver plug but there is a battery option on those sets and in some cases you can charge batteries with in the set if they have this feature.
When I was in Spain I visited a lot of those cheap Chinese bazar shops and some of there stuff did not look safe by our standards, there was a torch which had a mains charger with a two pin plug and I had a look at it and one of the pins fell out the plug
. On the other end of the scale is in some cases with modern equipment it can be a copied fake of well known makes ie chargers that catch fire and batteries that explode. I have a few Chinese batteries in my collection and there colourful and look great but they don't last long power wise. There have been cases where fake electrical goods from china such as hair styling equipment has caused burns or fires but not all Chinese stuff is bad because a lot is made in china but to our safety standards as the labour is cheap over there.
If it sounds to good to be true it probably is but its always a case of buyer beware with some electric stuff. They are getting clever at faking stuff now. Battery stuff is ok as it wont kill you but if its mains then if it does not look right or perform well get rid of it. I would never trust mains electricals that are cheap coming from china unless it was a well known trader with a good reputation and a well known firm, sometimes saving money on such things can cost a lot more in the long run should your house burn down. I like to look at modern electricals before I buy but with vintage gear we all know the score but for modern electricals I would rather buy from a shop.