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Does the position after 7. e3 Ngxe5 8. Nxe5 Nxe5 9. a3 look familiar? How about 9. Be2 O-O 10. a3 Bxd2+ 11. Qxd2 d6 12. O-O b6 13. b4 Bb7?
I also don't see full equality after 10...Ng6 11. Bg3 Bd6 12. Bxd6 Qxd6 13. Ne4. This only solves one problem at the expense of the other two. White has more space and a lead in devolpment. The c pawn can be targeted. Sure Black is not lost, but I don't understand why you want these positions; they offer Black almost no winning chances.
The whole point of the 7.e3 line is that white is trying not to invest a move in a3. If a3 is played anyway, then black can just capture on d2 with a playable position. White has a marginal advantage, but so what? Do you really think the average chess player can make that much out of the two bishops? Alternatively one can always play Mamedyarov's line with 4...g5.
Why would I want these positions? Because first, I don't think it's bad for black especially not at sub-IM/GM level. Second, I have fun playing the opening, as there are more variations in it than just the Rubinstiens. Third, I enjoy a challenge anyway. Finally I'm a believer in sticking with an opening, I knew many people thought the Budapest was bad before I started playing it, but the more people who think it's bad the less people will play it, and the less experience my white opponent is going to have in it. By persisting in playing the Budapest, I'm familiarizing myself with the themes of these variations. Yes white gets the bishop pair, but now I'm going to familiarize myself with how to play against the bishop pair and how a knight can dominate a bishop. An added bonus is it messes up white's preferred d4 openings that they are actually familiar with, I'm sure plutonia who is a d4 player would rather get into a queen's gambit or a slav or whatever they've been studying for years, but I'm not going to give them that satisfaction. I'm going to use the Budapest, and take the initiative right from the start. Of course Plutonia would find this boring because it's an opening in which white lacks initiative and that's not really fun to play for white.
I play 1. d4 and I would rather see the Budapest then most other openings. I would also avoid worse positions that cede the bishop pair when there is a stable pawn structure and less space. Especially if there are no pawn breaks in the position. Maybe this is a personal flaw of mine, but if so it is shared by the majority of chess players and produces statistics that favor White.
Speaking of messing up opening prefrence, what do you do against 1. d4 Nf6 2. Nf3? 2...Nc6 3. c4 e5 4. d5 is a whole new can of worms.
I play your e6, and I like it. It works, do not change it.
The results in the Bd6 line speak for themselves - white scores a crushing 67% based on 89 games after Bd6 Bxd6. Black loses time and is playing catchup on a long and painful road to hopefully achieving equality. To get more specific, after Bxd6 Qxd6 Ne4 white scores 79% (stats from Mega Database 2013). It's also laughable to say that the Budapest "[takes] the initiative right from the start", as in the most common variation (Rubinstein) black is passively defending for the whole opening to middlegame. Your main defense of the opening is that most players aren't good enough to use the bishop pair - relying on your opponent's incompetence is not an adequate way to defend an opening. I'm not saying that the Budapest isn't playable, just that there is a reason it is almost never employed at high levels.
@Aggressivesociopath Against 2. Nf3 I personally just go into a King's Indian set-up. Also I'm glad you like playing against the Budapest, because I like playing it, seems everyone is happy. As long as my opponents play 2. c4 I'm going to play the Budapest.
@FrenchTutor, many Grandmasters use the Budapest from time to time at high levels. Shirov, Zeljko, Epishin, Mamedyarov, Speelman, Romero Holmes, the list goes on. Some more examples with links
Koepcke vs Yermolinksy 0-1
Mikhalevski vs Chabonon 0-1
You bring up database stats saying "out of 89 games." Yes, 89 games between grandmasters and a stat that doesn't apply to average players. I'll never be a GM, none of the people I play will ever be GMs, you'll never be a GM, so who cares? I play the Budapest every chance I get, I like playing with it, and I have a winning record with it. And there's always Mamedyarov's 4...g5 line.
The Budapest can be a challenging opening for black to play against the Rubinstein variations, but it's definitely not an insurmountable challenge, especially not at average level. If you're black you're already playing from a challenging position anyway no matter what opening you use. I don't mind playing against the Rubeinstein variations as black thus I will continue playing the Budapest and studying these games, so that when a white player does use this variation I'll be more familiar with it than them.
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