the arguments for an all nuke combat task force can't be that robust as the USN tried it in the mid 60's and soon abandoned it.
eg BigE, LongBeach, Bainbridge, Truxton + subs
to have complete benefit you'd need some nuke powered USNS assets and even then you're going to hit the wall on consumables.
eg nukes can stay and play for 70+ days using traditional rotation, but ultimately what drives the decisions to rotate are stocks of food and crew sanity. - similar issues would arise with skimmers
I wasn’t proposing an all nuclear powered navy.
The ship has to be of a certain size and have the right mission to justify the effort and expense of nuclear power. Bigger ships are more efficient in many ways than are smaller ships but they still use allot of fuel and can carry more other consumables stores per person as well. I even went aboard the Long Beach and the Truxton a couple of times when they were still in commission. Since they were in fact first of kind nuclear ships they were way over engineered than they needed to be. The new reactors today are even safer and more reliable than they were in those days but they are also simpler and smaller for the same power output with a far longer reactor life.
The Truxton had enough k-rations on board; I was told by a friend in the crew, to last the crew for 90 days and far more available water for the crew than a conventional ship. They could usually take longer showers than on other ships that were fueled by oil.
And the Enterprise is now leaving on its last deployed, and it was and is in every way a successful ship of the line by any standard. I had a ship that escorted it into the Indian Ocean in a rush deployment during the Indian Pakistan war, the one that created Bangladesh, and it carried enough fuel oil to refuel its escorts without an accompanying tanker to get there. Just another example of where nuclear power on large ships can have a multiplying effect upon the whole fleet.
And I almost forgot. If you have nuclear reactor you can crack water to get Hydrogen (H2). You can store it and use it to run a turbine in a pinch. It doesn’t have as good energy density as jet fuel but you can replenish some of your consumable while underway if you think you need it.