While the Sun and the Express have been crowing about the results of the poll by Deltapoll for the former, there is little to fear in this.

The Sun says:

Just 42 per cent of Scots would vote for independence if there was a referendum tomorrow, compared to one poll last month that found 49 per cent were in favour of a vote.

https://www.thesun.co.uk/news/19840380/support-scottish-independence-queens-death/

First, no poll since February 2022 has had support above 48%, the most recent, four weeks ago, had it at 46% and four polls in that same period had had it at between 38% and 42%. So, the 42% cannot be attributed confidently to the Queen’s passing. The data is here: https://en.wikipedia.org/wiki/Opinion_polling_on_Scottish_independence

Second, Deltapoll have never before surveyed opinion on Scottish independence so may be unreliable.

Third, we’ve seen these fluctuations before and even 42% remains a perfectly acceptable starting point to begin a new campaign.

Finally, does anyone really think that even this minor effect, if there is one, will last, as Charles III gets going?