Not sure if this helps anyone, but I wrote to the Mexico Visa Office to ask if they had any idea on timeline. My mom got her CSQ back in December but we have heard nothing since then. Basically, they can't work on applications since the office is closed.
Good day,
The file is pending an eligibility review. Note that we are presently experiencing considerable delays. Unfortunately, I do not have any timeline to assist you. Mexico has officially declared the coronavirus pandemic a national public health emergency; suspending all but essential activities in the private and public sectors and asking the population to stay home. Accordingly, the Immigration section of the Canadian Embassy in Mexico City is currently working with essential staff only and providing essential urgent services through teleworking. This limits our ability to process paper-based applications such as permanent residence applications. Equally, we are not in a position to extend or re-issue permanent resident visas for those who are unable to travel before the expiration of their documents. We will be in contact with you with further instructions when we are able to do so.