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No, their precision is a function of how square the profile is.
The tables are like a math student who has not learned decimals or fractions, only integers.
Ask him to take the square root of 10, and he'll say 3, and he is completely accurate within the specified precision.
In science, you must be consistent in the number of significant digits to which you're calculating.
If the true value is 0.999942, and you are working with a precision of one significant digit, then 1 is an accurate value. 1.000 is also an accurate value with 4 significant digits.
Both precision and accuracy impact your safety here, but only one of them is a difference between the tables and a computer (assuming you are using a pressure activated dive timer and a depth gauge which accurately records your max depth.) If you forgot to start a manual timer until a few minutes into the dive, THAT would be an accuracy issue.