I think the problem here is that you need to go one level deeper. The ID that your files are in on right now is the ID of the participant’s role, not the ID of the user you’re trying to compare it against. I do not know the name of the many-to-one that points back to a director’s user, but assuming it’s an auto-generated thing like directus_users_id, you would want to use something like the following:
{
"mobile_studies_tasks_1": {
"_some": {
"mobile_studies_id": {
"participants": {
"_some": {
"directus_users_id": {
"id": {
"_eq": "$CURRENT_USER"
}
}
}
}
}
}
}
}