So today I was busy and I got the SMART information out of the device.
The first thing I messed up last time was the idproduct which was 2364 instead of 2362, which I corrected. The problem is that nvme support for ASM2362 was only added in smarmontools 7.3 and higher… Debian bullseye is still stuck on 7.2 which does not support it. So either you go bookworm or you can do some trickery - I manage to stay on bullseye. The steps I took to achieve it were the following:
I have openmediavault installed on a raspbian os.
prepare some dependencies
sudo apt-get install autoconf automake debhelper-compat libcap-ng-dev libselinux1-dev libsystemd-dev devscripts -y
remove the old smartmontools
sudo dpkg -r --force-depends smartmontools
get the newer version
dget https://deb.debian.org/debian/pool/main/s/smartmontools/smartmontools_7.3-1.dsc
create directory and exctract package into it
dpkg-source -x smartmontools_7.3-1.dsc
go to new directory
cd smartmontools-7.3/
build it
sudo dpkg-buildpackage -rfakeroot -b
go back
cd ..
add the built packages
sudo dpkg -i smartmontools_7.3-1_armhf.deb
sudo dpkg -i smartmontools-dbgsym_7.3-1_armhf.deb
verify everything’s ok
sudo apt-get update && sudo apt-get upgrade
sudo smartctl -V
there should be nothing broken and you should see version 7.3
then to get the smart info do
sudo smartctl -a /dev/sda
for good measure devscripts can be removed, as it’s not needed
sudo apt-get remove devscripts
et voila
So to sum up if we want smart the official way I guess we need to wait until bookworm gets released… 
Anyway, now I am trying to get the openmediavault to work… I noticed that it is identifying my disk as sat and sudo smartctl -a /dev/sda -d sat will throw an error. There is a new type for asmedia - sudo smartctl -a /dev/sda -d sntasmedia which works for me. However, I cannot seem to yet figure out how to modify the openmedivault to use proper commands.