This makes for a good buffer amplifier, with infinite impedance on the input and zero impedance on the output. Ideally, at least. Figure 3 The buffer amplifier provides infinite input impedance and ...

In this example from Starič and Mangan’s book, "Wideband Amplifiers," pp 2.49-50, the three video components all have different input impedance, but the T-coils provide for them all.