I think what the "deeper meaning" questioners are asking is if there is some extra context that, when given, explains the lyrics through a different light. Maybe they really mean "hidden meaning", and they're thinking of Radiohead or some other band who has sort of cryptic lyrics. So, do you have songs like that? Where the context for some or all of the lyrics are omitted?
my job is to deliver the maximum possible amount of meaning/feeling to the listener. it doesn't seem wise to me to have extra meaning/feeling on hand and deliberately hide/withhold it from the listener