Benoni? Morra? No, Caro-Kann!

JOE Skielnik emailed re my game earlier this week in the Battersea Club Championship (https://beauchess.blogspot.com/2019/10/benoni-no-morra-gambit.html).
The game began 1.d4 c5 2.e4 cxd4 3.Nf3 Nc6 4.Bc4 Nf6 5.Qe2 d6 6.0-0 g6 7.Rd1 Bg7 8.c3 0-0 9.cxd4 d5 10.exd5 Nxd5

Position after 10...Nxd5 in Spanton (168) - Paul Stokes (158)

Joe writes: "The position at move 10 could theoretically arise from the Caro-Kann."
He gives the sequence: 1.e4 c6 2.d4 d5 3.exd5 cxd5 4.c4 Nf6 5.Nf3 (as Joe points out, 5.Nc3 is more normal, but 5.Nf3 has been played by Karpov and Short) g6 6.cxd5 (again Nc3 is more popular, but cxd5 has been preferred by Nakamura, Karjakin and Hebden) Nxd5 7.Bc4 Bg7 8.0-0 0-0 9.Qe2 Nc6 10.Rd1

Position in the Caro-Kann after 10.Rd1

The exact same position has been reached. However, there is a small but rather important difference between the two diagrams.
In the first, the blob at the bottom-lefthand corner shows it is White to move, while in the second the blob is Black.
Joe says: "Black has gained a move by not including ...d6 before ...d5, which surely proves that the Caro-Kann is better than the Sicilian …"