Yes you have to use the dynamic latitude and longitude attributes to center the map to a new point.
Dynamic center doesn't really exists in Leafmaps and only on the static UI where we calculate the lat/lng out of it.
Maybe @patrick can add it as well to be dynamic as well and auto convert to coordinates on the fly using the openstreetmap nominatop services as I described on:
Same could be useful for markers as well, so we can call the api instead of the users 