Will the 32392 Heavy-Duty Main Barrel Replacement fit on the 32527 11-in-1 Screwdriver/Nutdriver?

No, the 32392 Heavy-Duty barrel replacement does not fit the 32527 11-in-1 screwdriver/nut driver. There is no replacement barrel option for the 32527.

The 32392 is designed to for the Klein 32557 Ratcheting and 32558 Multi-Bit Screwdriver/nut driver.