Yes.
BBC has spent decades earning a reputation for being (mostly) accurate and unbiased. RT has spent at least one decade earning a reputation for being Putin's mouthpiece, and part of his mechanism of control over Russia. The two are not remotely equivalent, despite lapses you can cite at BBC.
- the spreading of ideas, information, or rumor for the purpose of helping or injuring an institution, a cause, or a person
- ideas, facts, or allegations spread deliberately to further one's cause or to damage an opposing cause; also : a public action having such an effect
That certainly sounds exactly like the media's behavior in this country to me.
[0] https://www.merriam-webster.com/dictionary/propaganda
EDIT: formatting
Is the BBC state funded?
As to how much of a public institution it is, I think it's important to look at how much of the organization's budget is from the state. For PBS, it appears it was around 12% in 2010[3]. RT appears to get almost all its funding from the government (if Wikipedia is to be trusted)[4].
Sorry for the Quora links, but really, there's no reason to accept anything I present over what people there might be able to supply anyways. I present them not as sources, but as additional discussions about the topic.
1: https://www.quora.com/How-biased-or-accurate-is-RTs-coverage...
2: https://www.buzzfeed.com/rosiegray/how-the-truth-is-made-at-...
3: https://www.quora.com/What-portion-of-PBS-funding-comes-from...
А у вас негров линчуют
riiight