Upvote:5
SkyCop make claims against airlines on your behalf based on the (EC) 261/2004 (Air Passenger rights EU) regulations. They are saying that your claim will probably not be successful because basically the airline are not at fault in this case.
Your contract was with the BudgetAir (3rd party) as they sold you the tickets, and they were the ones that provided the incorrect information to you, not the airline. So this is why a claim against the airline will not work and the claim against BudgetAir cannot be based on the EC 261/2004 regulation as that is not relevant in this case as the airline did not change the flights but the flights were effectively mis-sold to you by BudgetAir.
Therefore, I think you need to make a claim based another law maybe based on consumer rights and that you were mis-sold a service. For this you will probably need to contact a consumer rights organisation to help you or a lawyer.