Earlier quoted context omitted.
Are not "intend to mislead" and lying synonyms? Misleading without intent may not be, but if you mislead with intent you are lying.
I am not a native English speaker, so my cultural priors might be way off, but I think those two things are quite different. Lying is making statements that the speaker knows are false. An attempt to mislead is stressing some parts of the actual information and omitting or obfuscating other parts to promote a specific viewpoint. But not actually making false statements. This is literally what most of the layers do mu…
Your grasp of English seems fine, to me.
I think your "quite different" distinction is incorrect. The distinction between lying and attempting to mislead isn't a clear one. There's a gradation from plain lying your face off, through mixing in a few truths with your lies, through lying by omission, through presenting true facts in such a way as to make the reader believe falsehoods.
The tactic most-used by newspapers is lying by omission. Newspapers routinely "spike" stories that aren't aligned with the paper's political agenda. You can search the paper's output, and you won't find a direct lie; but a parallel search for truth will also fail. Truth is to be found in the gaps.