More or less exactly so. There is another downside to it: When money is just a piece of plastic which you touch the cash register with and get what you want, how to you learn to appreciate money? Coins and paper money is also excellent for counting, as they naturally come in different valuations.

When counting money is just arithmetics and never cash, something is missing, and it's very clear in many young kids. Money is just points in a game, suddenly you're out, and then you can't get what you want anymore.