No.

Let me put it this way: a self-custodial, liquid-only wallet is not a "self-custodial, Bitcoin-only wallet". A self-custodial, cashu-only wallet is not a "self-custodial, Bitcoin-only wallet". Adding a separate self-custodial Bitcoin wallet to either of these would not change the fact that they are not "self-custodial, Bitcoin-only". They would still be self-custodial, however. If a wallet is self-custodial; but, it is not "a self-custodial, Bitcoin-only wallet", that must mean it's not "Bitcoin-only".

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OK, your definition is clear. And of course, we need a clear definition.

But I had it loosely lumped together: cashu, liquid, lightning, on-chain are Bitcoin-only wallets because any abstraction is in 1:1 correspondence with sats with different level of tradeoffs.

That's totally fair.

I don't think anyone who has a good idea what liquid is is going to be confused - which is why I included the qualifier "If anything.... " in my original post. But, if I were someone who had no idea what liquid was - and I was excited to try out this new "Bitcoin-only" wallet - once I did, I might feel like I was intentionally given a false impression what to expect.