Interesting. The Sequence of Operations we write for the data halls I work on specifically do not shut down the CRACs on smoke alarm for this reason. The International Mechanical Code (IMC) specifically allows this where a air handler over 2000 cfm serves only one space because it's recognized that it will not spread smoke around a building. 2000 cfm is the threshold where you typically have to install smoke detectors, and typically they do shut down on smoke detection.
The CRAC won't feed a fire oxygen as it's just recirculating the same oxygen depleted air.
While CRACs won't recirculate oxygen, they can move air past sprinklers faster than they can handle which can delay operation, typically 5 fps. Although that's only if you are using sprinklers, clean agent is a different matter.