Q: Are the landing sites even remotely close to each other?
Q: Had any of sides incorporated this somehow unexpected counterpart into their master programs? Can they update the programs at all?
Edit: grammar
The two rovers are 1873 km away from each other.
calculation and sources: https://gist.github.com/krisoft/4f06624a79f4a0df1107fb29be99...
I doubt they incorporated the knowledge of another rover in their code but I believe JPL rovers are “driven” by humans and do not explore autonomously. Due to the delay, the commands are slightly higher level (short term setpoints) but the point is that a human would have to command the rover to drive into another; it wouldn’t happen automatically.