One reason to use up-to-date #Linux kernels on your production servers is that they can do things faster. Linux 4.13+ has kTLS or kernel-level (!) TLS stack.
https://www.kernel.org/doc/html/latest/networking/tls-offload.html
I don't think any extra randomness source can weaken anything, it's not like entropy pools work. BTW kernel already has plenty of crypto code eg for IPSec, secure boot etc
If you're trying to advocate for microkernels then well, both kTLS and IPSec are already available as modules
Hey, remember that time a kernel maintainer resigned because an Intel-influenced RDRAND decision decisively weakened the kernel's ability to generate random numbers? That was fun to watch. IIRC, Ted Tso took over afterwards.