Who exactly should be referred to as a
HODLER? As we already know, hodlers are people who hodl bitcoin for long periods of time; they are determined not to sell for the long term irrespective of the price change.
Now here comes my question: If those who buy and hodl their coins on a noncustodial wallet where they have full control over the coin are referred to as hodlers, are those who also hodl under a custodial service where they don’t have full control of the coins also regarded as hodlers?
If you leave your coins on a custodial exchange, the exchange is the one holding your coins and not you. What's available in your balance is what they can manually input. Since you don't have full control of the coin, you shouldn't be considered a hodler.
If you keep your money in the bank instead of in your pocket, don't you own that money? After you buy Bitcoin, you own it, and where you hold it is entirely up to you. If you keep your Bitcoins in a centralized exchange instead of keeping them under your complete control, it means that you trust that centralized exchange. That's why you are keeping your money there as safe. And you can remove your Bitcoins from there at any time if that platform is legal. So why not think of it as holding? As long as you keep your Bitcoins, it will be considered a holding. However, for higher security, you should always hold Bitcoins in a non-custodial wallet.