I don't know how reliant France is, but they do seem to rely quite a bit on Rosatom (https://www.lemonde.fr/en/energies/article/2023/03/12/french...).
They also rely on imports of uranium - e.g. from Niger, which recently had quite the fallout with France.
It does not look to me at even a casual glance that French nuclear tech could fully work on its own. Similar for the UK.
It is not just about the experts, the supply chain too. Although, of course how much that matters in comparison is the question, since pretty much everything nowadays depends on some faraway place.
France isn't reliant on Rosatom at all for Uranium. Russia is one possible part of the supply chain mostly used for retreatment.
Most of the French uranium is produced by Orano which is quite close to being a public company (95% owned by France). It comes from Canada, Kazakhstan and Niger.
Greenpeace is not a reliable source when it comes to anything having to do with the nuclear industry by the way.
Uranium is very power dense. If there is a supply chain disruption, it is problematic but France keeps around at least 5 years worth of nuclear production, which gives it some time to react and adapt. Also, Uranium is not very rare nor expensive, so reliance on one producer is not that worrying I think. Enrichment facilities are rarer, but there is also one in France, so I can see French nuclear tech work on its own.