☰Yes. Warranties, extended service contracts, and performance guarantees are promises your business already stands behind; a captive turns those promises into insured, priced, reserved obligations. The captive insures the warranty program, an actuary prices the exposure from your product and service history, and the premium collected builds reserves and surplus instead of sitting as an unfunded contingency on your balance sheet.
The commercial logic is strong where the warranty is sold or bundled: the margin in a warranty program, which often exceeds the margin on the product itself, stays with you rather than a third-party administrator's insurer. This is a classic go-on-offense use of captive surplus, insurance written for affiliated parties, your customers, on risk you understand best. Program design matters, since warranty business can carry its own regulatory treatment by state, so it gets built with full guidance from counsel.