In my headcannon, mammoths are among the closest animal friends for Rainbow and Fluttershy; including herd leaders. Large and strong, brave and gentle, jolly, and wise. Mighty warriors, tacticians, guides, healers, teachers, carers, singers, poets, dancers, travellers, protectors, and friends. Very great support for those on need. And living proof humans and ponies arent the only one able of thoughts and feelings.
This is a song they've learned.... the Song of the Mammoths which has been round since the Stone Age; specifically on the year 40,000 BC…… 42m025 years before 2026 CE.

Verse 1
Deep in the marrow, before the ice broke.
Roaming the great world before bonfires spoke.
The stars were our quides,
and the grass was our bread.
With the weight of the mountains in every tread.

Chorus
Since the great journey from south to north,
Roaming ice, snow, grass and dust,
The song which from our hearts,
and the wisdom which we trust.
The song is the river, the song within the bone.
As long as we remember and love,
We’re zero quite alone.

Verse 2
Protection in fur, trunk, foot, and tusk.
Carrying the dawn through the gathering dusk.
From the caves of the spirit top the plains of the deep,
We guard the old secrets while the little ones sleep.

(chorus)

Verse 3
The world keeps changing now and then.
Humans hunt us, tearing our herds apart.
But our elders foresaw some shall be our friends.
Such hope we keep within the heart.

(chorus)

(intrusmental)

(chorus one more time)

Heres which inspired this:

https://www.youtube.com/watch?v=l4ND7jy3SQI
https://www.youtube.com/watch?v=geITn3JLuk4
https://www.youtube.com/watch?v=PxasUASZEDw
https://www.youtube.com/watch?v=rTgibig29kw
https://www.youtube.com/watch?v=wNriPTyEKs8
https://www.youtube.com/watch?v=SK_cjShBJ0Y
https://www.youtube.com/watch?v=kGgDQj3KWa8