I agree with Emperor Arthur, but I'd also like to point out that such feats in the Nasuverse are actually accomplish-able without the aid of shards. This is why I'm still curious about whether or not QA is actually back.
It might be the case, since Taylor is displaying many of the signs of her parahuman career, though that may be the stress of the Grand Order. Her abilities are not using magical energy, which IS a clear sign of shard useage, but again, there are alternate possibilities, such as conceptual authority.
I currently have two working theories about how Taylor got her powers back:
1. The shard hijacked the summoning ritual to track her down and reconnect, which is entirely possible, since they manage to find people even without a beacon like the summoning ritual to begin with. However, I suspect that the shard is now connected directly to Taylors soul via her magic circuits, mitigating many of the weaknesses of the corona pollentia and gemma.
2. The summoning ritual added conceptual traits to Taylor that are a part of her legend as a heroic spirit, specifically her powers as the warlord Skitter. As these are conceptual traits akin to a noble phantasm, which would replicate the shard in full, along with the powers it grants, they'd function more like an authority than a superpower, which would mean they could be bent and twisted to suit her purposes.