Hmm, as usual, the most interesting tidbits arise on this forum!
Northern pike around my neck of the woods will at times not spawn. One of the most common reasons occurs during drought periods. Northern pike adults can live in water with relatively high saline (high dissolved solids) content, but the eggs must be laid in quite fresh (low dissolved solids) water. Thus, during the drought years when lakes have higher dissolved solids (water has evaporated and left behind the salts), we also tend to have little snow, and thus no freshwater runoff. In those years and in those lakes, the pike don't spawn and will resorb their eggs.
I have never before heard that northern pike can't resorb eggs or are more likely to die because of resorption. However, as Dave Davidson says, we never say never. I did a literature search, and couldn't find evidence, which of course doesn't really answer the question. Just from my observations, I think the northerns carry the eggs longer than most fish while resorbing. A month after pike spawning, we can see a female with what appears to be full ovaries. When you open her, you see that the eggs are in a state of decay, and obviously no longer are viable.
We did do a couple of years of study on seasonal patterns in pike ovaries and testes. If you are interested, go to this link, and then look at figure 5.
http://wfs.sdstate.edu/wfsdept/Publications/Willis/203-F%20neumann_nop%20seasonal.pdf In addition, my literature search also turned up a very interesting European review paper on fish reproduction. They did indicate that pike do resorb eggs. If anyone wants a copy of this file, you'll have to email me, and I'll forward the PDF to you.