> ...galaxies that are more than approximately 4.5 gigaparsecs away from us are expanding away from us faster than light. We can still see such objects because the Universe in the past was expanding more slowly than it is today, so the ancient light being received from these objects is still able to reach us, though if the expansion continues unabated, there will never come a time that we will see the light from such objects being produced today (on a so-called "space-like slice of spacetime") and vice versa because space itself is expanding between Earth and the source faster than any light can be exchanged.
The rate of expansion of space-time is currently accelerating so the ant on a rubber rope analogy does not hold.
Edit: from the ant on a rubber rope article you linked
> However, the metric expansion of space is accelerating. An ant on a rubber rope whose expansion increases with time is not guaranteed to reach the endpoint.[3] The light from sufficiently distant galaxies may still therefore never reach Earth.
https://en.wikipedia.org/wiki/Metric_expansion_of_space
The rate of expansion of space-time is currently accelerating so the ant on a rubber rope analogy does not hold.
Edit: from the ant on a rubber rope article you linked
> However, the metric expansion of space is accelerating. An ant on a rubber rope whose expansion increases with time is not guaranteed to reach the endpoint.[3] The light from sufficiently distant galaxies may still therefore never reach Earth.