The Czech player Cernousek is the main advocate of 4.Ne5.A good game worth studying however is Morozevich/Dreev, Monte Carlo 2005 (blindfold)Volume 2 of "Secrets of Opening Surprises" has a chapter by Ian Rogers on 4.Ne5 also in Vol. 2 is a chapter on the Albin Counter Gambit with all Morozevich's pet lines as black.A very fine issue.
Another Weak White System Against the Caro Kann
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I believe the future of chess may be not in obtaining an opening advantage, but in understanding certain positions better than ones opponent.There are several Russian Grandmasters that play the white side of the Giuoco Pianissimo not with any great expectation of obtaining an opening advantage, but to instead reach a position that they understand better than their opponent.Hence, the Giuoco Pianissimo scores well for them.Against the Caro Kann I personally like 1.e4 c6 2.Nf3 d5 3.ed5 cd5 4.Ne5 a favorite of Morozevich.No opening advantage here, but a contest on understanding the positions reached is what ensues.Thank you for your excellent insights.
Yes, understanding certain positions better than one's oppeonent is an advantage. But we cannot forget about transpositions. While you are busy achieving a position that you know better than your opponent, he has been busy with his tournament preparation fine tuning his knowledge of transpositional junctures that change all the hard work you did to achieve that position.
Such is the life of a 'professional gunslinger' (very strong player.)