I think that where the Abbott machines might hit a wall is that they are one at a time, and they require Abbott's consumable test cartridge and device to run (think printer ink / printer). I don't have any firsthand knowledge, but I would anticipate that it is difficult to scale-up manufacturing of the devices rapidly enough to keep pace with the pandemic growth.
We absolutely need contact tracing to find everybody who needs to be tested. We're not working on scaling up contact tracing, but I think several people in the tech community are working on making that easier to perform at scale.