Correct. A dekatron actually has 30 cathodes. 10 of them are separately pinned-out, so that the counting function is available externally.
10 cathodes are connected to a single pin, call it group1
The remaining 10 cathodes are connected to group 2.
The cathodes are arranged radially, something like this:
Cathode 0
Group 1
Group 2
Cathode 1
Group 1
Group 2
Cathode 2.
All cathodes connect to ground via a resistor. The dot will "follow" the path of least resistance. To make it move, group1 is pulled low, and then group 2 is pulled low. Then group1 is released. Finally, group 2 is released and the dot moves to the next cathode. To reverse the direction, pull group 2 low, then pull group1 low, then release group 2, then release group 1