9c3 is the 4th most common move according to Chess Assistant 24 (CA 24). Moving the d pawn dominates. 948 games for 9d3 and 818 games for 9d4. Then 333 games for 9a5 and 226 games for 9c3. 9d3 and 9a5 can transpose into one another.

9c3 looks reasonable and but is not favored by theory. For example ChessPublishing annotates 16 games on 9d4, 7 each for 9d3 and 9a5, but no games for 9c3.

If white's aim is to discourage ...d5, he does better to play 9d4 or 9d3.

Hi.

Provided I got all the moves right there is a Grischuk blitz game. But the line looks like not much for white.

Have a nice day.

[Event "Speed Chess"]
[Site "Chess.com INT"]
[Date "2022.12.07"]
[Round "1.16"]
[White "Grischuk, Alexander"]
[Black "Ding, Liren"]
[Result "1-0"]
[ECO "C88"]
[WhiteElo "2745"]
[BlackElo "2811"]
[WhiteFideId "4126025"]
[WhiteFideId "8603677"]
[PlyCount "71"]
[Beauty "7973875223562"]
[GameId "2235863793040996"]
[EventDate "2022.11.23"]
[EventType "k.o. (blitz)"]
[EventRounds "4"]
[EventCountry "USA"]
[SourceTitle "CBM 211 Extra"]
[Source "ChessBase"]
[SourceDate "2023.01.31"]
[SourceVersion "1"]
[SourceVersionDate "2023.01.31"]
[SourceQuality "1"]

{[%evp ,68,94,149,101,162,77,1,-32,44,35,18,-45,7,-51,7,15,18,34,21,32,78,135,126]} 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. O-O Be7 6. Re1 b5 7. Bb3 O-O 8. a4 b4 9. c3 d5 10. exd5 Nxd5 11. d4 bxc3 12. Nxc3 Nxc3 13. bxc3 exd4 14. Qd3 Rb8 15. cxd4 Nb4 16. Qc3 Bb7 17. Ba3 a5 18. Ne5 Bd6 19. Rad1 Nd5 20. Qc1 Bxa3 21. Qxa3 Nf4 22. d5 Re8 23. g3 Nxd5 24. Qc5 c6 25. Nxc6 Bxc6 26. Qxc6 Rxe1+ 27. Rxe1 Nf6 28. Bc4 Rc8 29. Qa6 h6 30. Bf1 Rc5 31. Qd3 Qxd3 32. Bxd3 g5 33. Bb5 Rc2 34. h3 Kg7 35. Re5 Nh7 36. Bd3 1-0