I agree with quite a lot of what you're saying. I think the oil segment was badly put together and there should have been
some rebuttal from an e-liquid manufacturer, or ECITA (who do most of the e-liquid tests) to point out that e-liquid is not made from oil. Also the doctors quote "what his doctor referred to as 'oil blended with concentrated nicotine' " is just demonstrably wildly inacurrate.
I don't think that it was so badly done as to be a violation of the OFCOM impartiality rules, but if a complaint has been filed then OFCOM will have to rule on it.
It gets a bit complicated as some e-liquids do contain oil. Pluid certainly does (aniseed oil) and lots of flavours that use a natural extraction of something that will contain very small amounts of essential oils. Any liquid that does contain essential oils, the oil is a very small portion of it.
There are also cases of Lipoid Pneumonia in the medical literature that I've read caused by essential oils.
Here is one case where a person used Primrose Oil and developed Lipoid Pneumonia after a decade of use.
How much essential oil is too much? We don't know. In the trace amounts found in some small % of e-liquids it's probably harmless.