I don't think there is any substantial long-term implication. It's just a low-cost way to display power and show the flag without moving an entire carrier group.
Keep in mind that the sub does not carry nuclear-armed ballistic missiles, but rather cruise missiles armed with conventional warheads. The submarine used to carry submarine-launched ballistic missiles (SLBMs), but it was converted to carry 154 cruise missiles. The New York Times had an article about it on April 8.
Given the weakness shown by the United States in the current government and in the face of changes in the international system, manifested in how the big players have decided in recent events, war in Ukraine, Sudan, Syria, among others, there is evidence of a rise in regional powers such as in this case the rise of Iran. For this reason, the demonstrations of force is a valid strategy to delay the actions of the adversaries and therefore the immediate fulfillment of their objectives, thus managing to resume the alliances of the United States with other states in the region, such as Saudi Arabia and Iraq, berehim , Emirates and Israel.
There is evidence of fatigue in the application of the international policies of the United States, which urgently needs an immediate renewal with new strategies in a world in which not only military power matters.