About a week ago, ChessBase posted a review of one of its own opening video products that has some bearing on the recent posts in this thread. The review, written by Lukas Köpl, covered
Reinventing the Ragozin by Indian GM Surya Ganguly. The pertinent bit of information was Köpl's observation that "In the classical main variation after 1.d4 d5 2.c4 e6 3.Nf3 Nf6 4.Nc3 Bb4 5.Bg5 h6 6.Bxf6 Qxf6 7.e3, Ganguly deviates with the rather rare continuation 7...c5". Although Köpl doesn't go further, the review includes a sample video where Ganguly presents his reasoning for some of his repertoire selections. In the case of 7...c5, he notes that if White continues with 8.Rc1, Black can go for 8...dxc4 9.Bxc4 cxd4, producing the following position
This should be compared to the drawing line, where 7...0-0 is played instead of 7...c5. After 8.Rc1 dxc4 9.Bxc4 c5 10.0-0 cxd4, a similar position arises
In this second position, White has the resource 11.Ne4. As noted in Reply #11, this move scores better for White than 11.Nxd4, continuing with the drawing line.
Ganguly explains in his video that the reason for his selection of 7...c5 is that White does not have the Ne4 resource in the first diagram since the knight on c3 remains pinned. Thus, the first player has nothing better than 10.Nxd4 0-0 11.0-0 Bd7, transposing back to the drawing line. After showing 11...Bd7, Ganguly ended his explanation. He seemed quite satisfied to head for the drawing line.
Rather than forging a new path, Ganguly's choice of 7...c5 is a move order refinement that saves some theoretical work for Black since a reply for 11.Ne4 after 7...0-0 isn't needed. Of course, White doesn't have to play along. In fact, 8.cxd5 is played twice as frequently as 8.Rc1 after 7...c5, according to the Mega Database. Presumably Ganguly covers this option in his repertoire.
Getting back to BobbyDigital80's question in Reply #10 about a line that avoids the draw, Black might try 7...c6. It's the third most popular move after 7...0-0 and 7...c5, and Bacrot played this multiple times in 2023, albeit in blitz and rapid games. The database indicates that 7...c6 8.Rc1 Nd7 is a "hot" line at the moment. Unfortunately, Black players seeking to adopt 7...c6 might be on their own. I haven't found coverage of this move in my Ragozin books. However, ChessPublishing does have M.Muzychuk-V.Exler, Frauenbundesliga 2022-23 (11.5) Germany GER, 2023, a game with the related 7...0-0 8.Rc1 c6. In his annotations after 8...c6, GM Raven Sturt writes, "The move makes little sense as the central idea of the Ragozin is energetic piece play in the center, particularly revolving around the e5 break. However, the move is not entirely bad and Stockfish soberly asserts that White only keeps a slight edge. The move has been essayed by several grandmasters as of late, lending credence to the idea that it is playable." Interestingly, Sturt wasn't quite as accepting of 8...c6 in his introduction to the game in the May 2023 update to the 1.d4 d5 2.c4 section: "In Muzychuk-Exler, Black employed the dubious 8...c6. While it wasn’t punished in the game, the move goes against the spirit of the Ragozin and should lead to a White advantage against proper play."
"Dubious and "playable" are rather divergent evaluations. When I check the position after 8...c6, Stockfish finds the position to be equal. This could be one of those situations where the engine considers Black to be fine, but a human player might have difficulties since the continuations that maintain equality aren't thematic for the Ragozin. At any rate, the ...c6 idea may be worth investigating for those who are willing to accept more risk to avoid the seemingly inevitable draw in BobbyDigital80's line.