Which is why the real interpretation happens outside the DBMS.
And which is also why the DBMS needs "help" from its users when deciding whether TUPLE{} represents "The shop is closed" and should go in THE_SHOP_IS_CLOSED rather than "The alarm is set" and should go in THE_ALARM_IS_SET.
It interprets relations according to its own data integrity enforcement rules.
If this is your way of saying that the only thing a DBMS does (and can ever be expected to do) is algebraic computation (e.g. to verify constraint satisfaction of a given update to a given existing db state), completely devoid of any form of "interpretation" in the sense of "human interpretation", I agree. Hell, it's why those things were called "computers". They compute. Nothing more.