There was a time when people 'said' things and were reported as having said them - that was it. Nowadays they 'tweeted' and what they 'tweeted' is reported verbatim, often followed by a screen shot of the original tweet, which adds absolutely nothing.
I am wondering if there is a copyright - and a cost - issue here. If someone says something using Twitter as the platform then it must be mentioned in some way - a tweet, tweeted etc. If that is the case then those in officialdom - MPs, councillors, the police, fire service, etc should revert back to normal channels and make official announcements.