No. Despite the label, flushable wipes do not break down in septic tanks. They build up and clog pumps, baffles, and outlets. Same goes for paper towels, feminine hygiene products, and "septic-safe" non-toilet-paper.
More detail
The "flushable" label is FTC-regulated for the narrow definition of "passes through a residential plumbing trap" but says nothing about whether the product breaks down in a septic system. In testing, most flushable wipes retain their structure for 6+ months in a septic environment. They accumulate at the inlet baffle, contribute to floating scum-layer thickness, and frequently cause baffle clogs that require professional clearing. Greater Cincinnati septic technicians report flushable-wipe-related service calls have increased 3-5x over the past decade. The only items safe to flush in a septic system are human waste and toilet paper. Anything else (paper towels, dental floss, hygiene products, fabric softener sheets, cigarette butts, food scraps from accidental dumping) belongs in the trash. Septic households should keep a labeled wastebasket in every bathroom to catch the items that habit puts in the toilet. Cincinnati-area observation: flushable-wipe-related service calls on Greater Cincinnati systems have grown 3-5x over the past decade. Households with septic systems should keep a labeled wastebasket in every bathroom to catch the items habit puts in the toilet. Educational posters and printable reminders are available from EPA SepticSmart for households with multiple users (children, frequent guests) where the rules need explicit signage.