I am not sure if China team pursuit got provisional quota despite of DQ. But I tend to think we are provisionally qualified based on my own interpretation of the document. I think as long as we are on top 11 (8 qualified teams + 3 reserve list teams) then we are qualified. Since there are only 11 teams registered so China is qualified for sure. I am eager to know others' thought about it and below is the qualification document and the relevant part.
D.2.2 If the host country does not earn at least two (2) quota places in the 500m, 1000m, 1500m, Mass Start (Women and Men), 3000m Women and 5000m Men and at least one (1) quota place in the 5000m Women and 10000m Men in D.2.1 but it has athletes who are placed in the respective events/distances Reserve List (as per D.2.5), for each individual event concerned the host country will be allocated event quota places considering also athletes ranked in the Reserve list, up to a maximum of two (2) athletes in the 500m, 1000m, 1500m, Mass Start (Women and Men), 3000m Women and 5000m Men and one (1) quota place in the 5000m Women and 10000m Men. For each of the Team Pursuit events the host country will be allocated an event quota place also in the case that the host country is only ranked in a Reserve list position.
D.2.5 Reserve List When the maximum total of quota places for an event/distance (as specified above) has been reached, the next SOQC positions per event/distance will constitute a reserve list of quota places. For each of the individual events/distances the reserve list consists of eight (8) reserve quota places. For each of the Team Pursuit events the reserve list consists of three (3) reserve quota places.
https://www.isu.org/docman-documents-links-2/2022-beijing/qualification-systems-3/24307-speed-skating-v1-1/file