Anyway, Fred had the last laugh; it’s him that coined the term Big Bang.
Yes, he did, in 1949.
There were no name for the model in the 1920s by Friedmann, Robertson & Lemaître, it was just common referred to as the Expanding Universe model.
Hoyle did "coined" the Big Bang, but he was actually naming his competition's model, but the media used it that it became so popular that other scientists used it too, that became its name.
Didn’t know Hoyle tried to revive a version in the 90s. Still, it was considered a good theory in that it made definite predictions which could be, and eventually were, falsified by observation.
Since the Steady State allows for expansion, the redshift measurements apply to it as does for the Big Bang model.
But in 1948, Gamow and Alpher predicted the Primeval Nucleosynthesis or the Big Bang Nucleosynthesis (BBN), in which the formation of atomic nuclei formed around proton hydrogen atoms and around protons & neutrons, like deuterium, helium and lithium atoms, for the first time. Alpher and Herman predicted the Cosmic Microwave Background Radiation (CMBR). And Gamow have also the universe started in very hot state, hence the Hot Big Bang model, as opposed to Lemaître’s Cold Big Bang model 1927.
Of course Lemaître didn’t call it Big Bang, but Lemaître did predict cold beginning of the universe.
Anyway, these 3 predictions made by Gamow, Alpher & Herman were verified with the discovery of CMBR, in 1964, by Arno Penzias and Robert Wilson.
And these 3 predictions, also led to understanding of how the lightest elements formed when the universe was still young.
And their 3 predictions were still valid and remained in use in later models, eg the Inflationary model in early 1980s, and the Lambda-Cold Dark Matter model (ΛCDM) in late 1990s.
The Inflationary and ΛCDM models were attempts at solutions that the 1948’s model didn’t have answers for. ΛCDM ties together the 1920s, 1948 & early 1980s models altogether.