Réti's French Gambit

TURNED out for Battersea 3 against London Deaf last night in division two of the Central London League.
Alasdair MacLeod (153) - Spanton (171)
French Réti
1.e4 e6. 2.b3!?
The idea behind this move is that Black has committed himself to ...e6, so White's dark-square bishop will be well-placed on b2 as it would cost Black another tempo to block the bishop with ...e5, which is a popular way to meet 1.b3.
2...d5 3.Bb2!?
A gambit, apparently first played by Réti against Maroczy in 1920.
3...dxe4 4.Nc3 Nf6
The greedy-looking 4...f5!? has been played by Gurevich and Luther.
5.Qe2 Be7

Should White immediately recapture, or is there something better?

6.Nxe4
Réti played 6.0-0-0 against Maroczy (the game was drawn), but the text came to be more popular over the years. It is preferred at first by the analysis engines Stockfish10 and Komodo9, although Stockfish10 also likes Réti's choice if given sufficient time.
6...Nxe4
The engines much prefer 6...0-0. I presume what they dislike about my move is that it centralises White's queen while unblocking White's light-square bishop.
7.Qxe4 Bf6 8.d4
White scores a very good 58% with this move in ChessBase's 2019 Mega database.
8...Qd5 9.Bd3 Bd7 10.Qxd5 exd5 11.0-0-0 0-0
This seems to be a new move, and is a rather obvious improvement on 11...Nc6?! 12.Re1+ Ne7 13.Ba3, which was seen in a loss by a 2190 in 2009.
After the text I felt Black was slightly better thanks to the awkwardness of White's d4 pawn blocking his dark-square bishop. But Stockfish10 slightly prefers White, although Komodo9 reckons the position is equal (½–½, 28 moves).
Updated statistics
Battersea 2018-19
Event...Colour...Grade...Opponent's Grade...Result
CLL........B..........167...….........196...............…D
LL...…….B...…...167...………..159...………….D
CLL...…..B...…...167...………..161...………….W
CLL...…..B...…...167...………..190...………….D
LL...…….W...…..167...………..161...….………W
CLL...…..W...…..167...………..148...………….D
CLL...…..W...…..167...………..165...………….W
CLL...…..W...…..167...………..160...………….D
CLL...…..W...…..167...………..159...………….D
LL...…….B...…...167...………..168...………….D
LL...…….W...…..171...………..159...………….W
CLL...…..B...…...171...………..198...……….….L
CLL...…..B...…...171...………..169...…………..L
CLL...…..B...…...171...………..196...…………..L
LL...…….B...…...171...………..182...…………..D
CLL...…..W...…..171...………..189...…………..L
LL...…….B...…...171...………..178...…………..L
CLL...…..B...…...171...………..164...…………..D
LL...…….B...…...171...………..188...………….W
CLL...…..B...…...171...………..200...…………..L
LL...…….B...…...171...………..169...…………..L
CLL...…..W...…..171...………..186...…………..D
CLL...…..B...…...171...………..153...…………..D
Overall this season for Battersea I have scored +5=11-7 for a grading performance of 170.
In season 2017-18 I scored +10=8-9 for a grading performance of 175.