Counting systems
Short answer yes. Most counts are characterized as level I, level II and level III. The differences are in a level 1 count all tags have the same value. In a level II count some tags have a value of one and some tags have a value of two. A level III count has tag values of one, two or three.
Let us take a couple of examples. In the high/low count all tags are either -1 or +1. In the Zen level II count some tags are -1 or +1 and other tags are -2 or +2. The Zen count as and example counts fives as +2.
Going from a level one count to a level two count or level III count is usually not advisable. While it is true, if you play accurately, a higher level count will give you more power. Most part-time players do not practice often enough and do not play often enough to perfect their counting skills to the point where they do not make mistakes. Mistakes are costly. It is better to use a count that you have the ability to use without making mistakes. There are many pros that do well using the high/low count. Many full-time players also use the knockout count system.
Learning to count accurately, then learning the I 18 indexes along with a proper spread will get you the dollars without going to a level II count. Level II counts are very difficult in shoe games. They are mostly used in single deck, and double deck.
A pitfall that new players fall into is. They believe they have the ability to go to a higher count level. It is a ego thing and should be avoided.
If the time comes when you are playing hundreds of hours a year and those hours are mostly double deck or single deck. Then a level II count would be beneficial. I personally have used the Zen count, successfully for many years. I seldom play shoes, and most of my play is either double deck or single deck.
Hope this helps you