".text" sections don't contain text. ".data" contains some but not all data. ".bss" stands for block started by symbol, a directive in one particular assembler for the IBM 704 (1954!) that just.. stuck around.
Object files are files but neither are nor contain objects (in the modern sense). Core dumps are memory dump but they've not been dumps of (magnetic) core memory since the 70s.
There are segments and sections, which mean slightly different things in every format.