Booking KLM flights with Virgin Flying Club Points

Hi,

I’m trying to book some KLM business class flights with Virgin Points. The KLM site shows lots of reward seat availability in both economy and business class. However, when trying to book on Virgin site there is no problem with economy seats but it comes up with no availability at all in business class. I wonder if anyone has any advice/suggestions?

It’s quite common for airlines to make fewer reward seats available to partner airlines than to their own members. Could that be why?