@BCBG, yes, as it would be a whole new episode, with the other members of the household being at risk again...?
This bit refers to those who have been ill who get ill again:
www.gov.uk/government/publications/covid-19-stay-at-home-guidance/stay-at-home-guidance-for-households-with-possible-coronavirus-covid-19-infection
What to do if you have another episode of COVID-19 symptoms after the end of your first period of self-isolation or household isolation
If you develop COVID-19 symptoms again at any point after ending your first period of staying at home (self-isolation or household isolation), follow this guidance onself-isolation again.
This means you must stay at home for at least 10 days from when your symptoms started if you live alone and arrange to have a test. If you live in a household, you must stay at home for at least 10 days from when your symptoms started, arrange a test for yourself, and all other household members must stay at home for 14 days.
@Monkey2001, that chart is definitely out of date, as it refers to 7 days'isolation, which was superseded by 10 days some time ago.