In my opinion, the idea of stabilising is an optimal one not and as mentioned before, not absolutely necessary if you take into consideration that, stabilising or not, the cones have to be very dry, the core of the cone is mildly soft and while most of it will be drilled out, if moisture is still present, you will have troubles with the casting results.
Considering that you have the cones properly free of moisture, the only thing you have to remember is that, the resin won't be able to soak through at the cone's centre area therefore, it may become unstable/weak while drilling, extra care is required and as rule number one, soak the living life of the hole with thin CA, multiple soakings through shaping to size, may be required, if not for helping to maintain the blank's structure it will soak between the resin and the pine come petals as they get cut, filling any gaps and sealing its ends for the finish...!
Best of luck.
Cheers
George