Nope. Both Sasuke and Naruto retained Hagoromo's chakra, if it was temparary then it would have left them the moment the seals returned to Hagoromo. Sasuke did not get the Rinnegan from Hashirama cells, Hagoromo even said "before the transmigration was over" while explaining to Naruto how Madara got the Rinnegan. You only need Indra and Ashura's chakra to awaken Hagoromo's chakra
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and Hagoromo even said Madara wasn't Indra transmigrator anymore
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. If Sasuke truly had both Indra and Ashura chakra then he would of had 2 Rinnegans instead of 1.
Indra represent Yin chakra and Ashura represent Yang chakra as depicted here
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so it's only natural that Hagoromo chakra represent yin yang chakra but Sasuke was given only Yin chakra which is why he has 1; his eye is most likely stronger than a normal Rinnegan but weaker than double. So if Sasuke didn't have Hagoromo's Yin chakra anymore then he wouldn't have his Rinnegan; note Sasuke Rinnegan looks different to give him a different look and it could be because he received a more potent chakra than the kind you awaken from the son's chakra. If Madara isn't Indra transmigrator then Hashirama isn't Ashura's, Hagoromo said it 2x about Madara; Madara and Hashirama being past transmigrator probably only links that Hagoromo used.
As for Obito and Kakashi, they didn't have Hagoromo's chakra, Obito obtained Sage Senjutsu after becoming the Juubi Jin and even then it never merged with his chakra as it did with Madara (who awakened it), and Naruto and Sasuke (who were hand given it). Obito had Hashirama's cells via white Zetsu and Madara's cells via Rinnegan yet he never awakened his own Rinnegan or shown to have Hagoromo's chakra; because Madara and Hashirama weren't transmigrators.
Even without those powerups, you do know Naruto is still stronger than both and Sasuke's skills with EMS would be strong enough to beat Hashirama at least right? Naruto has full Kurama and Hashirama cells and 12 years time skip to improve his skills. Sasuke has Hashirama's cells to boost his stamina and jutsu powers. Naruto haven't used RSM because he didn't have too, having full Kurama boost him to another level beyond his war arc level. Full Kurama KSM is going to be on or a bit above Yang Kurama's BSM; full Kurama's chakra is twice as large and is much more powerful then it's even larger and stronger when you add natural energy. Also the Bijuus chakra is a separate powerup from Hagoromo's so he can still use their power in any mode. Nothing was stopping Naruto from using TBBFRS (he can form TBB Rasengan in KM during the war so naturally his skills would further increase since he can use FRS in base with 1 hand instead of needing 2 clones to help) on Toneri. He didn't even go for the kill, he saved Toneri. Plus Kurama left his body so Naruto didn't have full access to all of Kurama's chakra like he would in BM and RSM.