Fulton, the anser is yes and no. The HELOC will add instant revolving CL and instant debt at the same amount, so overall revolving %util is a wash..
Your real gain with a HELOC is that it is at a much lower interest rate than your CCs, so monthly interest on total debt will go down. If you then make the same monthly payments that you were making before the HELOC, you will be paying more in principal and less in interest each month, thus givng you a gradual imiprovement in %util. But it will not be instant.
On the other hand, if you were to secure an installment loan, such as a home equity loan, it will add installment, and not revolving, debt. Installment %util is scored under FICO much lower than revolving %util. If you then use the installment loan money to pay of CC debt, you will receive an instant improvement in revolving %util.
A home equity loan might make more sense than a HELOC.