I'm glad this topic is generating some discussion. My position would be closely aligned with Dr MIddlemiss.
The list of modern "frigate" comparables from Tim's article is somewhat disingenuous. Many of these designs are much smaller than CSC and come from navies that also have larger AWD's in their fleet.
I understand that quad packed ESSM's along with CAMM would be a massive upgrade in AAW realm for the RCN. However, if hypersonic weapons continue to progress as we suspect, longer range missiles like SM-6 (and future versions) will be imperative (I understand we have no current publicly stated plans to acquire SM-6 but I'm making the assumption this would be available in the future if the RCN chose). This means that future naval commanders in the RCN will have their hands tied to a degree; choosing between SM-x missile loadouts to defend against hypersonic threats while potentially leaving themselves exposed to ASCM salvo's. I think this is what Dr. Middlemiss is getting at in his article. Low VLS number means you lose flexibility to deal with emerging threats.
For what the RCN wanted the CSC to be I'm honestly surprised that a 48 cell MK 41 wasn't baked into to the requirements at the onset, especially when they talked about "long-range precision naval fires" on top of long, short and close-in missile defense. A 48 cell MK 41 would have been commensurate with the overall size, cost, radar spec and stated requirements for the CSC. From the reading I've done on publications from the CSBA and elsewhere I'm of the belief that capability falls precipitously once you start reducing VLS cells. You can't reload VLS at sea so once your magazine is low or spent even if you've survived the attacked you are out of the fight and many miles and days away from rejoining - and by that time it might be all over. But I'm just a civilian who reads this for fun so I fully admit that I could be off the mark.