Regardless of what we each think of the term "UltraLinear", and its alignment on the good-versus-evil spectrum, I found the following diagram most succinct and easy to digest. It’s from a web search that hits el34world dot com.
Note the wiring in the orange boxes (these would be easily controlled with switches), and the "UtraLinear" taps coming from the transformer primary, to the right - these UL taps are the legs that are positioned (symmetrically) between the 2 outer taps (each tied to their corresponding push/pull tube’s anode plate) and the center tap. These particular taps are disconnected in triode and pure pentode modes. They are connected to the corresponding tube screen grid in UL mode.
I assume the exact % of the UL taps’ positioning between outer taps and center tap is what’s at issue for "optimal" UL loading to a given output tube type - as circuit gurus like Ralph have pointed out.
In pentode mode, both tube screens are tied to the center tap. In triode mode, each screen is tied to its own tube's anode plate.