Welcome to the wonderful world of K ownership.
When I put the brand spanking new radiator on the K12, it was crud-laden after about 250 miles of summer riding. Of course, summer in the UK wasn't all sweetness and light, it was wet and hot/cold by degrees.
From many years K experience, it is wayyyyy more important to look after your radiator than it is to do oil changes, especially with the average annual mileage of the average K. Coming a close second is not letting the exhaust headers rot. Either of these will kill a K long before the normal modern bikes Achilles heel of the ECU going AWOL.
Just sayin'.