We are obviously speaking from different understandings. I would say neither. I would need you to define your terms differently maybe.
In all cases the client application chooses the algorithm used when the user writes a DM. What do you mean by breadcrumb in the message. Message in what context? Message sent to the signer?
Edit: Maybe I should say the client developer? Is that the answer you're looking for? The developer _could_ give the user the option of choosing which to use, but clients generally are hard-coded to use one or the other.
In all cases the client application chooses the algorithm used when the user writes a DM. What do you mean by breadcrumb in the message. Message in what context? Message sent to the signer?
Edit: Maybe I should say the client developer? Is that the answer you're looking for? The developer _could_ give the user the option of choosing which to use, but clients generally are hard-coded to use one or the other.