Is the push for restoration of the female deacon a result of what other denominations are doing (e.g. the practice of the Episcopal and Anglican churches to ordain women as presbyters and bishops)?

No, this is not a result of what other denominations are doing. The Orthodox Church looks to Holy Scripture, Holy Tradition, and meeting the needs of its people in the decisions it makes. Moreover, calls for the restoration of this office are over one hundred years old. The most authoritative call was issued in Rhodes, Greece, in 1988, by an inter-Orthodox consultation attended by bishops and academics of twelve of the autocephalous Churches. More information can be found on this topic here.