What is the use Data Strobing
Figure 1. Data strobing. Source: data strobing.
I have never heard of this system before either but I can see that it does solve a problem with asynchronous data transmission.

Figure 2. RS232 waveform. Note that the start bit is required to trigger the receiver to begin a receive data cycle. Source: Wikipedia Commons.
In any asynchronous system - RS232 being the most widely used - it is necessary to have the transmitter and receivers set to the same baud rate and to send a start bit to tell the receiver that data is coming and to start its timing cycle. Effectively, once the receiver sees the start bit it waits 1.5 cycles (so that it's reading in the centre of the mark or space) and performs a read. This is repeated 7 or 8 times (depending on the protocol) with a one-cycle delay between reads. Hopefully the clock tolerances are tight enough that the reads are still away from the pulse edges by the end of the 7 or 8 bits. Crystal oscillators have made this a minor problem but Telex machines, for example, were mechanical and to minimise timing errors used 5-bit data transmission. See Baudot code.
From the Data Strobing article:

These have the property that either Data or Strobe changes its logical value in one clock cycle, but never both. This allows for easy clock recovery with a good jitter tolerance by XORing the two signal line values.
There is an equivalent way to specify the relationship between Data and Strobe. For even-numbered Data bits, Strobe is the opposite of Data. For odd-numbered Data bits, Strobe is the same as Data. From this definition it is more obvious that the XOR of Data and Strobe will yield a clock signal. Also, it specifies the simplest means of generating the Strobe signal for a given Data stream.

This means that, for example, if a string of zeros or ones is transmitted on the data line that the strobe line will change state on each bit. The advantage is that very long strings of data bits can be transmitted without the need for start and stop bits while ensuring accurate timing at the far end.