Claiming that the statement “there are no absolutes” is the only statement that is absolute could be viewed as fallacious due to special pleading unless there is some explanation provided justifying that exception. The reason this justification is important is that the objection may suggest a serious problem with the statement that is being ignored.
Let’s consider now your question: Can [there are no absolutes except this statement about absolutes] be held as a coherent worldview?
Let’s assume that there are no absolutes except for the claim that there are no absolutes. Is the statement 1+1=2 an absolute statement? Perhaps we need another exception for mathematical statements?
More seriously how can we form a logical argument showing that the statement is actually “coherent” if logic itself is relative? Don't forget that we assumed there are no absolutes to be a coherent worldview. How will we show that?
Either the list of exceptions has to grow or we have to take seriously that there might be something wrong with the original statement that there are no absolutes.