Your link goes to a website which isn't exactly known for being non-partisan! It generally supports Tommy Robinson, et al:
https://www.politico.eu/article/britain-nationalist-dark-web-populism-tommy-robinson/
Any news editor, including those at the BBC, has difficult decisions o make when, for example, having only a 1-minute slot available to them to summarise the key points of a 10-minute speech or interview. Some editing will always have to take place, often meaning that the finer points of political arguments get omitted. (i.e. the viewer will often only be presented with "Here's what we propose", rather than "Here's a great big long list of all the reasons behind our proposals, together with all the costs and consequences of them"). Although bias
can be allowed to creep in with such editorial decisions, most of them are made purely because of programming time constraints.
As a qualified journalist myself (both in print and media techniques), I know how hard it can be to edit news items in a way that leaves the reader/listener/viewer with the key facts but without removing the subtler details which the speaker might want to get across. Equally, as someone who has given a key speech at a national conference, I know how frustrating it can be when a highly edited version of that speech appears on the front page of the Daily Telegraph, apparently changing the emphasis of what I said considerably!