Doesn't matter. The networks using the same name are independent companies anyway, for example Vodafone UK and Vodafone IE have the same agreements, as your lesser known mobile network.
It may go even further - the brand name of the network you recognize may be not owned by the same company, as the rest for the networks with the same name. For example, O2 CZ and O2 SK are not owned by Telefonica (anymore), but the other O2 networks are.