Whilst eu cars differ our now 16 year old 1.2 car fires virtually instantly, one thing I do is pause between ignition and actual cranking over to build fuel pressure and allow the ecus to settle.
Not sure if your car is a uni air type and they are a grey area for me though I believe oil pressure has a role to play so not impossible to understand if left over night, oil spec or thickness may also play a greater role in cold climates ie winter?
If possible use a genuine oil filter, order online?