I think we're stuck with semantics here. How do you define what the 'hardware wallet' is? Does every hardware wallet have a secure element? I don't think so.
Each hardware wallet does have hardware security to protect private keys.
Some have a secure element, others a crypto co-processor. But some hardware security is required.
In my humble opinion, this DIY project can be described as a hardware which can be used as a wallet.
That's absolutely true.
But this also applies to my online mobile wallet. It is a hardware used as a wallet.
Obviously, it is all the time online. But even if it would stay completely air-gapped, it would be an air-gapped (cold) wallet, but still not a hardware wallet even tho it "is hardware" (every software runs on hardware).
I showed you multiple definitions of Hardware Wallets [...]
Yes.
And one of your "definitions" would mean a paper wallet also is a hardware wallet.
And another of your "definitions" would automatically deem that project to not be a hardware wallet. Both of them are wrong, to say at least.
Either way, this project simply is an air-gapped wallet on a small device. No hardware security. Take it or leave it.
I appreciate that you try to find new forms of storage, but you obviously do not possess the technical competence to estimate how secure a given storage method is.