Das von Dir bereits eingebundene MapCenterCoord Plugin verwendet
map.getCenter():


  _getMapCenterCoord: function () {
    if (this.options.projected) return this._getProjectedCoord(this._map.options.crs.project(this._map.getCenter()));
    return this._getLatLngCoord(this._map.getCenter());
},

https://github.com/xguaita/Leaflet.MapCenterCoord/blob/614445ce5e06b1ce20f78b08aad0b9f6e64d6c37/src/L.Control.MapCenterCoord.js#L76-L79