No, they aren't. This becomes evident when you look at the mantras of Sāmaveda which are usually sourced from the Ṛgveda. There are about 75 (yoni) mantras in the Sāmaveda without the original Ṛgvedic source. And some Sāmagāna mantras, that are actually sung, without the corresponding yoni (source) mantras.
1. Introduction
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Sāma Veda Samhita, in reality, has two parts. The first part consists of the (source) text of the rik mantras which are to be sung. It is properly called Sāma (yoni) mantra samhita. The second part of Sāma Veda gives the text of mantras which are actually sung. This part is called Sāmagāna text or text for singing. Thus every mantra in the first part, is expanded to yield one or more Sāmagāna mantras. Note that there are also several Sāmagāna mantras (mantras which are sung) which do not have a source rik mantra.
3. Sāma Veda and Rig Veda: Connection
It was mentioned that the text of most of the Sāma Veda verses is in Rig Veda. The complete recension of Rig Veda available today is Shākala. Of the 1875 Sāma yoni mantras, 1770 are in Shākala recension of Rig Veda. Another 29 verses can be traced to the mantras of the Khila sūktas of Rig Veda and some slightly modified versions of the mantras of RV. The remaining 76 mantras in Sāmaveda presumably are from the recensions of Vedas which are lost today.
Each chapter or adhyāya takes verses from different Mandalas of the Rig Veda. For instance, the first nine mantras of the first adhyāya of Sāma Veda having ten mantras have same text as the following RV mantras: 6.16.10, 6.16.1, 1.12.1, 6.16.34, 8.84.1, 8.87.1, 6.16.16, 8.11.7, 6.16.13. The tenth mantra has no corresponding RV mantra.
9. Some Well-known Sāmagānas
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2. Subramaṇya Sāma: Begins with ‘subrahmaṇyom’; not based on any SV yoni mantra or RV mantra.
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3. Bṛhat Sāma: Not based on RV or SV yoni mantra.
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6. Mahāvairāja Sāman: Has no source SV mantra text.
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11. Go-Sāma: Has no known source mantra.
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(Essentials of Sāma Veda and its Music, R L Kashyap)