Well, David does come up again in Ezekiel, so we'll have to wait and see.There's a couple factors that give me pause however on this topic, one being the Jewish ancient translations putting 7 weeks with 62 weeks.
This mix of reasonable arguments makes me consider the possibility that the author could have been deliberately open ended and allowed for either reading - (A) that the anointed prince is a person whom the author knew from recorded history like Cyrus or a Persian-era Jewish prince, or (B) that the anointed prince is a more apocalyptic figure who comes after 69 weeks from the order to restore Jerusalem.
This kind of dual meaning shows up elsewhere in Jewish writings, especially in the figure of David. Rabbinical tradition sees David as a real historical ruler, but also as a prefigurement of the Davidic Messiah, so that some statements made in Tanakh about David can apply also by extension to Messiah.
In Isaiah 55, for instance, there is a prediction about the Israelites being under David a "commander of nations", which could imply the resurrected literal David who ruled the nation of Israel. David would resurrect according to Tanakh, and historically conquered some neighboring groups like some of the Philistines. But the prophecy seems more Messianic in Isaiah 55, as the Messiah would be a literal "commander of nations" in far greater number.