Before going to sleep, I would like to post an example of the prices of the 2 companies. I choose a flight from my city (Bergamo) to Billund (Denmark), where I actually live. For Alitalia I had to pick Milan because there are no flights from Bergamo.
With Alitalia I should also wait in Amsterdam before going to Billund (and the planes they use are not even their planes). With Ryan I fly directly to Billund, even if I don’t have so much choice on the time of my departure, because you only have one flight 4 days per week that leaves for Billund. But look at the prices clicking on the links below (i write the prices anyway because I don’t think they’ll appear witht he link. Anyway, if you want to check: I picked 31/07 and return 01/08 on both):