There's at least one DNM using LN ( Tor-based instance of @Shopstr Markets ), so it can't be 0%. If you can see the flow of transactions (and thus are able to compare currency flows to those of other currencies) on a DNM, it's not private. People spend Monero more because it's worse money (Gresham's Law).

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I wouldn't say worse money, I would say easier to replace. Monero incentivizes a circular economy because anyone easily can mine it, or buy it from the same places you can with Bitcoin*, and it's more affordable*, it's used as cash more because it has the more cash like principle, lightning feels more credit like in my opinion. Monero maintains a more reliable price point, and gradually increases overtime typically, so it's more predictable as determination of price. (*DEX, Kraken, and Some ATMs) (*currently)
Do you really think that who is using Monero is one that has bitcoin and everytime thry have to do a transaction makes a swap? 👀 You don't know Monero community for sure.. That is the excuse that your fav influencers say to have an argument for this, but its not applied here, if that was the case Monerists would be using FIAT 👀
Its not because it has an onion adress that the service is a DNM service..
All DNMs are used for is to deposit or withdraw transactions. No one is using them as their personal wallets. If Lightning was on DNMs it would have the same issue. If the reason DNMs are adopting something was because of Gresham's Law there would be much better(worse?) crypto to do that with than Monero. It's the strong default privacy and relative ease of use vs the alternatives.
Lightning wouldn't have the same issue in that case because there's no transaction trace on Lightning, but there is on Monero. Gresham's law only applies in the context of a market that accepts both Monero and Bitcoin (or any other currency). If the option is there to pay in Bitcoin or Monero, most will choose Monero because it's worse to hold. If the only option is Monero, then that doesn't apply.