The Novus example you posted there wouldn't be complete in terms of point allocation. The +9 acc is always there and doesn't eat up any of your stats. So, for instance, if you wanted to cap DET and get some crit and the rest in PIE, it would turn out to be: 31 DET, 33 crit and 11 PIE, I think. I am not sure if those are the exact values, as I don't have my Novus/Nexus (can't be assed), but I've seen a 31 DET/33 PIE/11 crit Novus, so yeah.

On DET: I'ven't tested it of late, but the last time I did some testing - fairies were affected by DET in proportion to my own heals, ie. they benefited from DET as much as I did.

Not sure about the Nexus stat gains, except that the native +9 accuracy won't go up at least.