Yeah I had this happen on my previous Jazz once. It was also a cold damp day when I backed out of the garage to get at some tools before driving it back in.
As for my current Jazz, as expected now that the weather has improved it's starting first time every time at normal idle revs. I have, however, had a few cases recently where it's not responding to the accelerator very well. Now that I have more experience I can say that the problem is that it's sometimes reluctant to move from Atkinson to Otto cycle even though the accelerator pedal is half way to the floor. Releasing then rapidly re-applying the accelerator usually wakes it up but it's annoying. The only good thing is that if this is a fault developing I might finally be able to get it fixed.