I wouldn't be surprised if there were special circumstances for certain quests like this though (ie. Clear without X pa, clear without dodging, etc.)
There are already client orders similar to that: finish a certain with S Rank withing 20 minutes; finish missions only using a specific weapon type; kill a specific amount of a certain type of enemies with on Photon Art, etc.
I was not asking what TAing is, but what you mean in PSO2. I did not see it in the vids, but I was barely watching them as the quality hurt my eyes.