"Java SE" is actually correct here. Starting with Java SE 1.4.2, JDBC is a required technology for Java Platform, Standard Edition. Java SE 6 requires JDBC 4.0, as described in Section 2 ("Component JSRs") of JSR 270, the specification for Java SE 6.
Java EE 6 requires Java SE 6 or higher. JSR 316 is the specification for Java SE 6, and has this to say about JDBC in section EE.2.7.6:
"The JDBC API is included in Java SE, but this specification includes additional requirements on JDBC device drivers."
The JDBC API itself, though, is provided by Java SE. You could say that Java EE 6 indirectly requires JDBC 4.0 through its dependency on Java SE 6. I'll rewrite this sentence for the Java EE 7 Tutorial to make it more clear.