The ST2 is 'kind of' omnidirectional, but not 'exactly'.
Attached below is a screen capture of four instances of SDRSharp running simultaneously on four different ST2 antennas.
The signals at 250.350 MHz, 250.450 MHz, and 250.550 MHz are the SatCom 'Fleet Broadcast Channels'.
The direction of each antenna is noted in upper right corner or each SDRSharp instance.
Only the direction of the antenna is different.
You can see by the relative difference of those three frequencies, the direction of the antenna will favor one or another.
I've found that the ST2 'slightly' favors to the sides and slightly forward.
(Looking away from the mast pole)
It's not often a problem, 'but it could' make a big difference on weak signals.
I can receive multiple NOAA Weather Radio signals on each 162 MHz NOAA frequency.
Depending on which antenna I select, a distant signal will either not be there at all, or .. another signal will be received instead.
Edit: Not that it should matter, but in my setup, the antennas are 'skewed' 12 degrees counterclockwise from TRUE North. (North is at 348 degrees in those images)
Rich
SatCom Fleet Broadcast Channels: