Change of carrier - can other countries keep track?

Those of us ex BA Connect travellers now with flybe are becoming increasingly confused as to actually which airline we are travelling.
Last Tuesday caught the flybe flight to Dusseldorf fromSouthampton - this route was announced before the BA Connect takeover. They have used mainly Dash 8 sprinkled with BAE146s on the routing, so I was somewhat shocked to suddenly find myself on a BA embraer 145 with obviously a BA crew on board; despite their uniforms, confirmed by the "why don't you check out our cheap flights on http://www.ba.com..... www.flyba.com.......I mean wwww.flybe.com ....",well she got there in the end.
( I actually asked the hostesses what it was like now they had crossed over to the "dark side" - they said it was ok but were shocked at the lack of attention to detail and disorganisation - they seem amazed that Flybe managed to operate a service at all).
Anyway on arrival at dusseldorf, it was the ground crew that amused me you could see all these Germans trying to work out what BA plane from Southampton was doing in that slot. Much shrugging of shoulders, mystified looks at paperwork, should they provide a valet service etc. anyway they figured it out in the end and got us on the bus without too much delay.

Update 21/4 - since I wrote this the last three domestic flights I have taken with Flybe have all used BA Connect Embraers - the crew still remain amazed at Flybe's disorganisation.