I see, it may be difficult in that case yes. If you cannot get it to work with dynamic labels, a script may be possible, but not trivial. 
You'd need a general script that runs every update (for performance it would be wise to limit the execution to once every second orso), counts the number of drivers that set a qualifying time, and updates the ticker to show that many items.
In theory something like this should work, perhaps with some modifications:
using System;
using ATVO.ThemesSDK;
using ATVO.ThemeEditor.ThemeModels;
using ATVO.ThemeEditor.Scripting.DotNET;
using ATVO.ThemesSDK.Data.Session;
using ATVO.ThemesSDK.Data.Results;
namespace Scripts
{
	public class UpdateQualTicker : IScript
	{
		private DateTime? _lastUpdateTime = null;
	
		public object Execute(ThemeContentItem item, object value, string parameter, ISimulation sim)
		{
			// Stop if last update time was less than 1s ago
			if (_lastUpdateTime != null && (DateTime.Now - _lastUpdateTime.Value).TotalSeconds < 1)
				return null;
							
			// Set last update time
			_lastUpdateTime = DateTime.Now;
			
			// Get qual session
			var session = sim.Session.GetQualification();
			
			// Get results
			var results = session?.Results;
			if (results?.Count == 0)
				return null;
			
			// Count number of results with a laptime
			var count = 0;
			foreach (var result in results)
			{
				if (result.FastestLapTime > 0)
				{
					count++;
				}
			}
			
			// Find the ticker widget
			var widget = item.Theme.Widgets.Find("myWidget");
						
			// Update how many items to show
			widget.Ticker.ItemCount = count;
								
			return null;
		}
	}
}