Being inadequate isn't the same as being too soft is it....
And if we are using twitter as a measure I would suggest that you look at Morgan's twitter accounts to see hundreds of people saying he is being far too critical of the government (as well as criticising his style) the Panorama programme was described by many as a hatchet job, and you have the post that DW posted above that has gone viral on social media, so many people share that view of not criticising the government, that they are being too critical.
Maybe we are both right? There have been people saying they have been too soft (i think they have) and there have been people who think they have been too harsh.
On your final point, even today the quote that ran with the Chancellor's comments about furlough/lockdown etc was from am unknown "government source" this happens ALL the time, and a huge majority of people will therefore think it is legit, rightly or wrongly.
You are suggesting that JN fabricated an entire interview to suit his own agenda? I think that is actually far less likely than the article actually being true. Occam's razor etc.