atie - I don't claim to be an experienced player, but I will note that Chess Publishing's position search feature indicates IM Watson has covered this line with 4...Qa5 in two French updates: June 2023 and October 2024. The former gives a brief history of the line (played by Uhlmann 75 years ago!) and broad coverage of the ensuing variations, including the one you refer to as the main line. (He suggests meeting 8.Qe2 with 8...f6). The latter update examines the continuation with 6.b4!? instead of the 6.Nf3 move in your line.   

There doesn't appear to be much other coverage of the 4...Qa5 variation. I didn't find anything in ChessBase's Opening Encyclopaedia or with the Modern Chess position search. Chessable does have two Lifetime 1.e4 Repertoires (by Giri and Adhiban) that include 4...Qa5. They both recommend 7.b4 instead of the 7.Bd3 in your main line. You can use Chessable's Opening Explorer V2 to delve further into the recommendations if you're interested.