Does anyone have tips on how to remove the chuck on my WD13S pillar drill from Axminster?

The spindle has a taper directly on the end and pressed into the chuck. There is no 'key way' to release it. Tapping a bearing release fork between the chuck and drill body only acts to pull the spindle out of its bearings.

Perhaps a bit of dis-assembly lubricant and heat on the chuck? Any other tips?