Well done, Cath and as Leggi says they are lovely.
First of all, I wouldn't pay too much attention to what Monty Dons says about sweet pea growing.
Regarding growing them from autumn sowings, they really don't need any heat at all. They are extremely hardy and will cope with say -12c without any problem at all....in fact they will be stronger plants if exposed to some hard frosts.
These are some of mine picked today: