I am not confused but I am getting tired of this confusion. So let us be clear:
A recession is normally defined as a period of temporary economic decline during which trade and industrial activity are reduced, generally identified by a fall in GDP in two successive quarters.
The election of 2010 was in May when the Labour Party lost power with 258 seats, against 307 for Conservatives and 57 for Liberal Democrats.
According to Statista, Quarterly GDP from Q3 2010 was +0.7%, +0.1%,+0.5%,+0.1%,+0.3%,+0.1%,+0.7%,-0.1%,+1.2%,-0.2%,+0.5%,+0.7%,+0.8% and+0.5% to Q4 2013.
www.statista.com/statistics/970941/quarterly-gdp-growth-uk/
So, growth was unsurprisingly anaemic over this period but on these figures, there was no recession. In 2008-9, there were 5 quarters when growth was negative before marginal growth resumed in Q3 and Q4 of 2009. In the first 2 quarters of 2010, growth was +0.7% and +1.1% as recovery from the deep recession continued. A bounce after a recession is not surprising and indeed it happened in 2021. We probably all agree that, after the bounce, further growth will be harder to acheive.