The analysis of d4 openings is probably as deep as with e4 openings. I just think most people don't bother to memorize them for some reason, probably fearing a tactical blow-up in an open game. Your early wins with the change to closed games probably reflects the laziness of most people who don't study closed games. Then when you start playing better players, it became more difficult to convert the slight opening + into a win. Better players have memorized more stuff and have more experience.
why d4 is better than e4

its white's move in this ruy lopez opening. what are the arguments against knight taking the e6 pawn

taking the pawn on e5, sorry! is the risk of black moving qd4 so threatening?
Well, white is already worse, which isn't something they look for in an opening. Black's development is a lot easier and they have the bishop pair.
Significantly, without the e pawns, white doesn't have a kingside 4 on 3 majority as in other Ruy Lopez lines.

Here's a thought: http://chessskill.blogspot.com/2015/04/a-plate-of-fried-liver.html

d4 is better than e4 because patzers like blaming their openings for their failures. Later on, when they switch to d4 and still lose, come to the conclusion that 1.Nh3 is the best first move by far.
1.Nh3. Funny.

I looked at the April issue of Chess Life this morning. It appears that Andy Soltis got an idea from this thread.

I looked at the April issue of Chess Life this morning. It appears that Andy Soltis got an idea from this thread.
wait my thread got into chess life?
Theoretically 1. d4 probably is a slightly stronger move. It seems to give black less chances to equalise in most of the mainlines. The stats seem to back this up.

No, theoretically e4 is the better move according to several engines, objectively perhaps by a decipawn. But first you have to memorize bulkloads of theory and second its harder to keep your advantage. 1.d4 black has 1...Nf6, 1...d5, 1...e6, 1...d6, and 1...f5 and d6 and e6 are minor responses not major. 1.e4 black has 1...c5, e5, e6, c6, d6, nf6, d5, g6 etc. keep in mind players on the black side vs 1.e4 only need one or 2 responses out of all of them, while white has to know all of them.
I dont think you can say one opening is better than the other because everyone has there own style of play. The move d4 leads more positional game while e4 is tactical.

No, theoretically e4 is the better move according to several engines...
Noone gives the slightest fook about what engines say on openings- unless he is a fool.
1.d4 is stronger because 1d4 openings rely less on book learning and more on positional understanding.
...
This is just not true.