Not in my experience. If the job req calls for experience working in an agile environment, or the HM tells you they're an agile shop or undergoing an agile transformation... they do Scrum, and they probably use JIRA; if not JIRA then something even more unfathomably horrible like VersionOne.
Nobody gives a shit about what's in the Agile Manifesto. Agile is Mornington Crescent, and the Manifesto is the game they want you to think they're playing. The game they're actually playing is a quasi-Taylorist affair about generating constant, real-time, fine-grained metrics and accountability. Agile gets adopted in corporations because, and inasmuch as, it promises those to corporate management.