Two ways an invitation circulates
The group send is fast and social: one message to everyone and the planning chatter starts underneath it. Its failure mode is quiet โ two people assume their answers are known, nobody counts them, and the list lies.
The private send is slower and better at accuracy. Its failure mode is that it becomes a job, and the invitations trail out over a weekend with half the guest list still waiting for a text by Thursday.
The version that works is the one where neither style has to track answers. Send the link whichever way you like โ one guest, one household, the whole group at once โ and the reply button on the page keeps the list the same no matter how the message travelled.