What about the theory that the NIST encryption curves may be backdoored ?
If this is the case, if I would be the NSA I would strongly push for free cryptography, to make sure that only the US can decrypt the communications and have a strategic advantage.
Let's Encrypt is a CA. Their involvement with web cryptography begins and ends with signing certificates which are used for authentication -- they have no say over what cryptography actually gets used for a TLS connection.
"The “k” in sepc256k1 stands for Koblitz and the “r” in sepc256r1 stands for random. A Koblitz elliptic curve has some special properties that make it possible to implement the group operation more efficiently. It is believed that there is a small security trade-off, that more “randomly” selected parameters are more secure. However, some people suspect that the random coefficients may have been selected to provide a back door."
If a solution is plausible, and this solution can bring dozens of billions of USD in in direct economic value or protect populations, certainly the smart people would/should think about a way to do it (and this could even be the right thing to do).
I'm not saying that Let's Encrypt is backdoored; what I'm saying is that it's a juicy target and that one potential solution to this problem is to encourage decentralization.
Honestly, not by much. There are maybe half a dozen major CAs that make up the vast majority (95%+) of certificate issuance, and that number has been shrinking as poorly run CAs have been shut down (like GeoTrust) and other CAs have gone through cycles of acquisition (like Verisign/Symantec/DigiCert).
Besides, a lot of the market share which Let's Encrypt has acquired has been by expanding the market, rather than taking it from other players. Ten years ago, less than 25% of web traffic was encrypted; now, 80-90% of it is, and a lot of that growth has been through increased availability of free or low-cost certificates.
If this is the case, if I would be the NSA I would strongly push for free cryptography, to make sure that only the US can decrypt the communications and have a strategic advantage.