In general, the deletion notices are supposed to be related only to the matter of one's not continuing as an elder, regardless of the reason. Therefore, they are indeed worded the same whether the removal is for cause or at the person's request. I recall cases in which a person was publicly reproved, or even disfellowshipped and then a few weeks later, anannouncement is made that they have been deleted from their position. The rationale seemed to be that the local elders make the decision about the judicial action, but that elders and MS's can be appointed or removed only by the GB. That was the case when I was publicly reproved in 1973 - my deletion as a ministerial servant was announced several weeks after the reproof. Several people came up to congratulate me, thinking that the announcement meant that the restrictions associated with my reproof had now been lifted. At the time, appointments and deletions were handled only at the time of the Circuit Overseer's visit, so it could even be months after a judicial action that the deletion was announced.
In a different case, though, I remember a brother who stepped down from his position as elder - a good friend of mine, who was much beloved as an elder because of his sincere concern for the flock (a rare elder indeed). When the deletion was announced, the elders added a statement that brother XXX had asked to be removed because of family obligations and that the congregation was very grateful for his faithful service. I thought that was the way it should be done all the time, but it was the only time I ever saw anything like that.