I don't really see there being much of a case to answer, although it may be possible to get the alleged secret law enforcement request. OVH terms of service will undoubtedly allow them to terminate your account for any reason.
You are not going there because an hosting company shutdown your mail service.
Last cases for reference: https://hudoc.echr.coe.int/eng#{%22languageisocode%22:[%22EN...}
A court action might bring some facts to light, but it's unlikely to reinstate the service.
[1]: https://en.wikipedia.org/wiki/European_Court_of_Justice [2]: https://en.wikipedia.org/wiki/Regulation_(European_Union)
https://en.m.wikipedia.org/wiki/European_Court_of_Justice
> The European Court of Justice (ECJ, French: Cour de Justice européenne), formally just the Court of Justice, is the supreme court of the European Union in matters of European Union law. As a part of the Court of Justice of the European Union, it is tasked with interpreting EU law and ensuring its equal application across all EU member states under Article 263 of the Treaty of the Functioning of the European Union (TFEU).
So this is not a general supreme court. Cases which don't run in local law conflicting EU regulations can't end up there.
EU regulations don't cover everything and do often have large margins of interpretation. They are generally not laws but regulations about making laws.
So there is a good chance your case will never have a chance to end up there even if it continues to escalate.
Edit: also the ECJ does work different in the results they produce then you think, e.g. they can rule that a certain court action/law/etc. is in beach if regulations and anull it to some degree, but that didn't mean they can e.g. force gurillamail to be rehosted. At most they could "annul" a france court discussion that the takedown for given reasons was legal. Which seems similar but is a massive difference as they then could argue that the takedown was still legal due to other reasons and still win (or just delay it further).
I feel the need to point out that each EU country has its own judiciary system and laws. There isn't such a thing as an European court. There's are laws/agreements set at the European level that are supposed to trickle down to each country and the process is fairly complicated and messy.
It's a very strong misconception from US readers to think that there is an Europe court, like there is a supreme court or something in the US.