Methods and apparatus for operation of a dual-connectivity enabled premises device in a wireless communication network. In one embodiment, the methods and apparatus utilize so-called “quasi-licensed” CBRS (Citizens Broadband Radio Service) wireless spectrum in conjunction with a cellular wireless communication network (e.g. having 4G/4.5G LTE and 5G NR base stations) for the provision of services to a number of installed enhanced fixed wireless apparatus (FWAe) at user or subscriber premises. The FWAe has dual-connectivity functionality, and can connect to two different access technologies simultaneously. The FWAe (and base stations) also support a “split” mode of operation wherein each air interface is selectively used for only certain types of traffic (e.g., UL or DL only).