Would you consider Lingayats to be “Hindu”?

I find it to be an interesting question because we generally consider “Hindu” as synonymous with Astika. That just means you believe in the authority of the Vedas and the existence of an eternal Atman. However the Lingayats reject the Vedas and Puranas completely, This itself would make them definitionally Nastikas. Yet they worship and believe in Shiva as the ultimate God who they will be united with after death. In cases like these it makes you wonder how far we can take these definitions which really arn’t as concrete as we typically imagine.