i did a LCY-LIN on ITA the other weekend (while they are still in the alliance) and i was a bit worried bc i booked biz but my ticket said i only had one checked bag and in other places, two checked bags due to status.
i had two bags and was a bit stressed about it at both points but at LCY the agent just checked everything, didnt ask about my carry ons and on my merry way. i expected more strictness at LIN but again no questions even after at the sky priority desk she asked to see my two carry on bags, just a few bene, bene and on my way.
so thus far exploring another team has been a nice eye opener!