Selecting (reading) data is very fast most of the time. So if no token matches I don't think this will result in a DOS.
Other partner's secrets may be more susceptible.
Edit: I did not consider the paired access key which is another 70 or so bits. I think you'd need to collide on both to make someone have a bad day.
Writing millions of generated tokens to a text file and pushing them to Github is easy.
There is obviously no meaningful benefit to doing this, except potentially breaking some random deployments until they can replace the keys.