Actually, something like that is not wrong but the way it is said cryptocurrency for now actually refers to the mass (many) so it will sound ambiguous and not specific if you say crypto in reference to bitcoin.
It would be better if the pronunciation is more specific to "bitcoin" if it is talking about bitcoin because crypto is broad in scope and this certainly includes bitcoin and altcoins including shitcoin.
It is also not wrong to say crypto because it is true but the scope becomes wider if you say crypto in contrast to bitcoin which is already specific.
What you say is also specific enough that it makes me have to agree because in fact it is clear that the term crypto is so broad that it does not only include Bitcoin, but also includes others as you mentioned. And if everyone refers to the reference sources that are in this topic, it is more directed to the discussion of Bitcoin so that it would be very correct if each of us mentioned Bitcoin directly without linking other cryptocurrencies into this. By the way, for now Bitcoin is still under $30K, is there anything out there that makes it difficult for Bitcoin to move past $30K this month?