There are many levels of development of right understanding.
I was referring to the most basic and crude level. The one in which one is able to listen, keep, understand and act upon the four Noble truths rediscovered by a Buddha and related other principles to awakening.
At the most basic level, it is summarising as taking onboard the ennobling tasks of:
. Fully understanding suffering
. Abandoning the dependent origination of suffering
. Verifying the end of suffering with the full abandoning of its causes
. Developing the eightfold path which allows the above tasks to be undertaken
The teaching is thus closed in a loop which in turn allows for the impersonal and dependently originated fruition of awakening - as presented in suttas like AN10.2, SN12.23 and MN117.
As far as I am concerned animals are not able to take on the above.
On the more subtle aspects of right understanding, I suspect the first loop through the eight factors of the path takes place with stream-entry, when some of the fetters are abandoned through some sort of very personal and private insight into the principle of dependent origination itself.
Mind that the threefold training framework only rearranges the eight factors under three baskets, but do not invalidate the order at which these factors are consistently found listed by the Buddha across EBTs.
There is a very beautiful little sutta which demonstrates how these factors come up gradually from good friendship which exposed one to the teaching and the path, always beginning with right understanding, as the light in the early morning:
“Mendicants, the dawn is the forerunner and precursor of the sunrise.
In the same way right view is the forerunner and precursor of skillful qualities.
Right view gives rise to right thought.
Right thought gives rise to right speech.
Right speech gives rise to right action.
Right action gives rise to right livelihood.
Right livelihood gives rise to right effort.
Right effort gives rise to right mindfulness.
Right mindfulness gives rise to right immersion.
Right immersion gives rise to right knowledge.
Right knowledge gives rise to right freedom.”