kings gambit accepted

Indeed, but Topa may not have been too dissapointed, as it was a rapid game.

4.ed5 is just asking for trouble. White has to take with bishop, when the resulting position is approximately level.

That was an April Fools joke

That Adams- Shirov game looks quite hopeless for white. Shirov missed 17...Ne4+! 18.Kg1 Nxe4, when white is close to being lost.

The point is that after 17...Nxf4? white has 18.Re5 with fair chances, while after 17...Ne4+! 18.Kg1 Nxe4 white cannot play 19.Re5 due to 19...Qg6, which wins immediately.

except black can't capture his own knight.  I'm not an IM but even I knew that

It's the same in both lines (17...Ne4+! 18.Kg1 Nxf4), and you certainly don't have to be an IM to understand it.

Congratulations.  You've pointed out that an IM made an annotation error.  Better luck demonstrating his chess errors to him.

Unfortunately, one cannot put one ounce of credence into any results attained in a stupid little blitz game.  Nice try anyway, though.

Now back to real chess...

After Be7 white can play g3.

I am by far a worse player than you, but after 5.Bb5+c6 6.dxc6bxc6  and if the white doesn't move his/her bishop he loses it and we are back to the same situation as 4...Be7

There are important differences, though. Without the Bishop check the pawn on d5 can be a target. In many lines in the Modern Black plays Nf6 and White doesn't really have time to shore up the pawn and ends up playing this check or giving the pawn back. After the Bishop check the situation is not the same. Now the possibly weak White pawn has been traded for a Pawn, White's pawn structure is quite a bit better than Black's, (two pawn islands vs 4, 3 of them isolated pawns,) and also Black has a pawn on c6, this can interfere with his Queenside development. Now I'm not sure this is the best way to proceed with White, but it certainly changes the situation in these ways and most of them good for White. It used to be a popular way to proceed after moves other than Be7, 4. Nf6 but I'm not sure it's considered best there lines anymore. Perhaps someone more up to date can comment. (I think Morphy's line is interesting, btw... I don't think the acutal Bertin Gambit 1. e4 e5 2. f4 exf4 3. Nf3 Be7 4. Bc4 Bh4+ 5. g3 is anywhere near sound and only expect to see it in Blitz, but after d5 and this Bishop check when Morphy played it it may be alright.)

I remember Nigel Short asking a player who lost against the king's gambit how he could lose when Black has so many ways to equalise.