[Arkshine]

Well, the tasks are checked in the engine pfnStartFrame hook (game frame), so yeah, if the game is paused, this is not going to be executed. Anything related to the server physics will be paused.

If you look at the engine code:

void SV_Frame(void)
{
	if (!g_psv.active)
	{
		return;
	}

	gGlobalVariables.frametime = host_frametime;
	g_psv.oldtime = g_psv.time;

	SV_CheckCmdTimes();
	SV_ReadPackets();

	if (SV_IsSimulating())
	{
		SV_Physics();
		g_psv.time += host_frametime;
	}

	SV_QueryMovevarsChanged();
	SV_RequestMissingResourcesFromClients();
	SV_CheckTimeouts();
	SV_SendClientMessages();
	SV_CheckMapDifferences();
	SV_GatherStatistics();

	Steam_RunFrame();
}

SV_Physics won't be called if paused (pfnStartFrame/Think/Touch/etc).

The engine doesn't provide a global API function above, but it would be still possible to hook for example SV_ReadPackets with a signature.

That's said, I don't know if it makes sense to do that just for task.