Privilege check of information_schema.TRIGGERS does not correspond the standard

According the standard row with the trigger info showed if user has column privileges other than SELECT. We have following column privileges :

• INSERT
• REFERENCES (unused)
• SELECT
• UPDATE
  To have all operation which has influence on a trigger we have to add DELETE and remove REFERENCES, i.e. in our case if user has:
• DELETE
• INSERT
• UPDATE

Even if the user can see a row in the INFORMATION_SCHEMA.TRIGGERS, a user will only see NULL for ACTION_CONDITION and ACTION_STATEMENT, unless he's the owner of the schema. We do not have owners but use TRIGGER privilege instead. Now it control whole row appearance but should control only content of that two columns.