It's confusing that "is constant-initialized" ([expr.const]/2) and "has constant initialization" (([basic.start.static]/2) mean different things.

Moreover, in pretty much every other case of a variable being "meow-initialized" (default/value/copy/direct/list/etc.), the term describes the actual initialization of the variable performed. But in an example like

void f() {
    bool b = std::is_constant_evaluated();
}

b is constant-initialized, but the trial evaluation performed for that determination has nothing to do with how b is actually initialized.

There are only so many ways the words "constant" and "initialize" can be combined, so I don't have a great suggestion. One option might be to limit "constant-initialized" to things where the trial evaluation is consistent with the initialization to be performed - i.e., things that are potentially constant or have static or thread storage duration.