It's not clear when you would ever reload a conventional ships gun at sea either though, particularly on a modern transparent battle space.
It would still involve putting two or more ships in close proximity with heavy lift equipment for an extended time.
If this is close to the front it's a target, if it's not then you could reload VLS cells, and to do it your sacrificing the ability to put munitions on targets quickly which might just cost you the entire ship.
It's not even clear it saves you any reload time, since the only potential benefit is that shells are somewhat smaller then missiles, and even then once you account for magazine design and survivability I'd say the trade off is questionable at best.
You can helicopter shells and propellant onto the deck, then take them below for storage — as loading the guns from their magazines already happens.
VLS requires that you reload missile by missile at the place they’re fired from the top, which requires you have crane access to each VLS cell. You could replace the many non-reloadable tubes with fewer, reloadable tubes connected via loaders to magazines… but we’re starting down the path to re-inventing guns.