Yes, publish the data.
That does not mean they should hijack a large portion of the nightly news to try to persuade the public not to go about their normal lives.
Of course, there are other items which are still given priority over showing the figures, such as football ;)
But show the whole of the figures, and put them in proportion.
The current daily death rate from Covid seems to be climbing (from 0 on 1 June to 23 on 29th, but the gradient looks pretty good since March 15th) Here

But somehow, we rarely see the long term graphs except when figures are rising steeply, and the government want to "instil more caution", such a graph is Here for weekly deaths in England and Wales and seems to show that the death rate is following annual trends (at present).
In fact a note following the graph states that:
There were 9459 deaths registered in England and Wales for the week ending June 18, 2021, fewer than the average for this week between 2015 and 2019, and a signal of the improving Coronavirus situation in the UK.