In the days when one could lob into LHR for 10s/6d, I spent a day in a sim, and then climbed into my little taxi to get back to my field in Essex.
It was night, and a drizzly base at 300'. I soon realized even the carb heater was not going to get me any reasonable climb rate, so told London tower. They simply said, "continue on track, not above 500 feet. " The last time they'd said that to me it was a wonderful clear morning, but now every sphincter muscle I owned was at full torque.
I can't tell you how much I wanted to put that heater off for a while, and get some space under me, but I sat it out and soon found the clear air promised.
Commuted night and day to work at Luton in this little beastie.