Yes it would make sense, especially if they were conventionally powered. A Franco - German CBG would be pretty powerful, especially with French SSNs lurking in the neighbourhood and German SSKs nosing around. The French and Germans are getting closer militarily and if Germany increases its defence spending to 2% GDP they would have a very strong military.
Really? The Germans with their overweight patrol ships? I mean F123 are reasonable ships but nothing special and F125 are okay I guess but F125 is just about worthless in a battlegroup. They would need to double their fleet to be able to have assets available for escort duties. And they don't exactly have the numbers of SSK's they'd need either. And the French don't have the numbers to make up for it either, hence the notion of other nations escorting them.
As for the 2%... well maybe in some fantasy land where the Germans aren't the worst defense spenders on the continent. But back in the real world they have the worst track record in this regard. Their military is so chronically underfunded that even the left wing pacifist media puts them on blast for the majority of their air force being inoperable. Most of the Bundeswehr is unable to mobilize and they don't give a rats behind. And there isn't much support for defense among the population. But you're right! If they'd spend 2% of GDP on defense they would have a pretty powerful military.
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My thoughts on the prospective French carrier however are: hmmm interesting! But they'd do well to invest more into replenishing their frontline ships as well. With them having only one carrier it's a bit of a sketchy capability seeing that it isn't available a lot of the time. Is carrier strike something France can count on when at best it's only going to be available 1/3rd of the time?
I mean the enemy is not going to wait for your CBG and air group to be out of maintenance, trained up and combat ready. In fact, an enemy would very likely wait for such an asset to be unavailable to make their move. So is this more than just something to carry the flag and signal long gone imperial ambitions? I understand keeping a carrier when you have one, but this is also the time to ask does France really need an aircraft carrier?
Being a military fan boy I'd say YES! BUY TWO!!! But the reality of the situation is that in the coming decades the MN will have six first line ASW ships and two great AAW ships and two okay AAW ships. Other than that they'll have some second line La Fayettes and later the FTI's. With this situation, which is basically a continuation of the current situation, it's possible to field a CBG some of the time. But going at full blast they would run into difficulties. Would they be able to field a CBG and an amphibious assault group at the same time? And would they have enough assets to cover the other commitments they need to?
I'm not against carriers, I think they are one of the coolest things about naval power. And for a country like France it's a testament to the power and sophistication of their nation. But as much as I admire them I just hope the Marine Nationale doesn't make the same mistakes the Royal Navy has. The Brits kept bashing their heads against the plate in front of them! They had to have their carriers and they gave up everything else to get them. But now they have a fleet that is woefully ill equipped for the tasks that lay before them. T-42 was cut, T-26 was cut and ships where retired to free funds for ships that aren't really fit for purpose in their current and foreseeable ORBAT.
If we now look at the Marine Nationale. The Horizon class was cut, and FREMM was cut to the bones, what's left? I know this supposed carrier is still a long time into the future, but maybe this would be a good time for the MN to have a broader discussion about their disposition in the future. So as to establish a firm goal towards which all their political and economical energy can be directed. To attempt to prevent a repeat of programs that are slashed and slashed until you have an impressive class like the Horizons, but numbers are to low to provide a persistent capability or the economies that a larger class brings.
Finally, can you keep calling France a world power when it's navy is about the size of Australia's?