There were more heavy hitters than that.
Spectral Tiger Cub isn't nerfed, although not many have it in comparison to other pets. The damage component of Feline Familiar's Prowl/Call Darkness also still hits really hard.
There have been several other teams cropping up from time to time, such as Pig + Demolish. That one is fun to use as well even though the pig is usually wasted space.
My personal favorite for big nuke is Nether Faerie Dragon or Mini Mindslayer with Life Exchange. Use it at the right time against a Crawdad and you heal up 75% while dealing ~900 damage in one turn! The Mindslayer even has burst abilities to help take out the other pet faster. Works better in Arcane Winds of course, but even without it it takes care of thems crabs!
Spectral Tiger Cub shouldn't be getting its burst off against this comp. Theres no reason that Anub can't wait out Darkness to unleash Sandstorm. Darkness as a whole got a LOT of nerfs so it won't be seeing as much play probably, not that this comp doesn't handle it very well. Also, listing a pet like this isn't very valid when its not in the hands of most PvP'ers who don't want to farm stupid amounts of gold or fork out a ton of cash. Honestly, pets like that shouldn't exist but oh well.
Far as Nether Fairie I see that once in a blue moon because its so gimmicky, and I've personally never seen Mindslayer ran. Anubsith would punch the Fairie to death very quickly anyways and you could always sub dragon breathe on the emerald whelp over onyx bite. Not a reliable counter at all.
As for wiggles, if he honestly did become a problem with this team (not that I think he would) you could start maining a Crystal Spider in the 3rd slot and laugh at any attempt to use the pig. He'll never get a shot at all to unleash his combo.
A lot of the delayed burst abilities that Reflection wrecked should become useable again -- Whirlpool, Geyser, etc. Your double shield team has to give up all its avoidance for the shields/heals, so they're forced to eat this damage, and the ones with stuns attached (Elementium Bolt, Ice Tomb) will also prevent or delay heals from landing.
All of those got damage nerfs as well, except for Whirlpool. Also, stuns do not interrupt Emerald Dream or Wish.
You don't have to open with Crow though. If the metagame shifts toward tanky teams, then maybe Scourged Whelpling or Lil' Deathwing or somebody else would offer more in that slot.
With that said though, I think it's possible you're right about shields. Ironically, burst damage is the most effective against shields, since shields subtract damage from each hit. If burst damage has a hard time beating a shield team, then multi-hit attacks will have no hope -- Flurry/Blitz, DoTs, Lightning Storm, and AoE will all get shut down by a single comp. But at the same time, I'd like to see tank teams be given a chance -- it'd be nice if multiple archetypes could be competitive, and not just different flavors of burst comps like now.
Lil' Deathwing is a CE pet, and Anubsith would wreck it anyways. You could run the Scourged Whelping, but what is he going to do? Plagued Blood and Tail Sweep are going to basically do nothing against Sandstorm + Shield. Multi Hit teams already have no hope against Double Shield teams, and the current burst nerfs are evermore favoring them.
Double shield + Healing is more than likely going to be broken next patch. It was a bad idea and the only reason it wasn't valid now was because burst was WAY up there. Now that its been toned down a lot (as well as the fact that there are a solid 2 different types of shield/healers to go along with anubsith) double shielding is gonna create some issues.