DUMP_TMC is an external tool. What I wonder is if Klipper reads from TMC before, during or after printing? Or, in other words does it ever check what registers are set?
If I understood your question correctly, I can tell you that Klipper supports both. For example, the Duet3 Mini 5+ has up to 7 TMC2209 drivers all sitting on the same UART bus and using logical addressing. The TMC drivers support up to four individual addresses per bus, so an additional chip selection is required if more than 4 drivers are on the same bus. This is accomplished by using uart_address for logical addressing and select_pins for chip selection. This also works whether a dedicated tx_pin is used or not, in other words a single or dual wire works equally well.
Klipper communicates with the TMC drivers continuously. This is used, for example, for error state checks, snesorless homing, etc.