Providing your bikes are from a reputable company, as opposed to Wing-tang-chang or similar, and not sold from under the counter, or on a market, then I wouldn't worry too much. There must, by now, be millions of lithium battery powered devices, of all descriptions, in use around the UK that function perfectly for their entire lifespan.
"The media" are always desperate for "news" so will leap at the chance of "warning" us about anything that might be dangerous, even if the chances are remote. It's not as if hundreds, or even tens, of electric bikes are spontaneously combusting every day is it?
Statistically you are far more likely to be involved in a Road Traffic Collision, of which there are thousands each day rather than your bike catching fire, but you dont even think about an RTC every time you get into your car do you?..
Take the advised precautions, such as never charging Lithium batteries when you are not nearby, checking them for damage occasionally, and only using the charger they came with, and get on with enjoying, rather than worrying about, your life.