Do you combine your inputs with those of others when using XMR? You do. So it's a mixer. We can refer to the other users as "mixers" instead of attributing it solely to the network, if you're concerned about the semantics.
So the cash register at the supermarket is the mixer: I get different inputs in return for the inputs I give them.Since we're talking about non-KYC services on the forum, maybe it's good to follow theymos' definition of a mixer:
Definition of a mixer
For clarity, here is a detailed definition of what we mean by a "mixer". Most people know intuitively what a mixer is and don't have to read this.
Something is considered a mixer if it meets all of these requirements:
1. It has a feature advertised for taking property, improving its privacy somehow, and then returning roughly the same type of property.
a. Even though you can sometimes use non-mixers to mix coins by depositing and then withdrawing, this doesn't make it a mixer because this is an incidental use of the service; the service isn't advertised as privacy-enhancing.
b. If a site is not primarily a mixer but has a mixer function, such as a mixer function on a gambling website, then the whole site is considered a mixer.
c. If the site takes coins, gives you a possibly-transferrable IOU, and will convert this IOU back into mixed coins much later, then the temporary conversion into a different type of property does not prevent it from being considered a mixer.
d. If the site internally converts your deposit into other things as part of its mixing, but ultimately the point of the product is to get your original type of property back, then that's a mixer, not an exchanger.
2. It is possible for the mixer to steal property passing through it. Assume that the sender does everything as correctly as possible. Also assume that no miners/verifiers on the base-layer cryptocurrency are evil. But assume that every other actor involved is evil (everyone able to vote in a DAO, every coordination server, every counterparty, every member of a multisig, etc.). Ignore short-term software bugs which are expected to be quickly fixed.
3. The service does not collect KYC-type info from all users. (This is not an endorsement of KYC generally, or a condemnation of non-KYC services generally. Non-KYC services of other types are still allowed, and in many cases they are a good idea.)
Examples of things that are not banned mixers include exchangers (unless they have a mixing function), CoinJoin-supporting non-custodial wallets, and Monero.
For clarity, here is a detailed definition of what we mean by a "mixer". Most people know intuitively what a mixer is and don't have to read this.
Something is considered a mixer if it meets all of these requirements:
1. It has a feature advertised for taking property, improving its privacy somehow, and then returning roughly the same type of property.
a. Even though you can sometimes use non-mixers to mix coins by depositing and then withdrawing, this doesn't make it a mixer because this is an incidental use of the service; the service isn't advertised as privacy-enhancing.
b. If a site is not primarily a mixer but has a mixer function, such as a mixer function on a gambling website, then the whole site is considered a mixer.
c. If the site takes coins, gives you a possibly-transferrable IOU, and will convert this IOU back into mixed coins much later, then the temporary conversion into a different type of property does not prevent it from being considered a mixer.
d. If the site internally converts your deposit into other things as part of its mixing, but ultimately the point of the product is to get your original type of property back, then that's a mixer, not an exchanger.
2. It is possible for the mixer to steal property passing through it. Assume that the sender does everything as correctly as possible. Also assume that no miners/verifiers on the base-layer cryptocurrency are evil. But assume that every other actor involved is evil (everyone able to vote in a DAO, every coordination server, every counterparty, every member of a multisig, etc.). Ignore short-term software bugs which are expected to be quickly fixed.
3. The service does not collect KYC-type info from all users. (This is not an endorsement of KYC generally, or a condemnation of non-KYC services generally. Non-KYC services of other types are still allowed, and in many cases they are a good idea.)
Examples of things that are not banned mixers include exchangers (unless they have a mixing function), CoinJoin-supporting non-custodial wallets, and Monero.