I would agree with most of what you say here, but I think that the reason why many players are turning to 1.d4 is not the sicilian, but the Berlin.
I play both first moves myself (as well as 1.c4) and I find that 3.Bb5 systems against the sicilian reach fairly pleasant positions for white (especially against players bent on the sveshnikov ), but the problem is what to do after 1...e5. Allowing the Berlin is certainly not what the 1.e4 player wants to do, but the d3 lines aren't entirely convincing, and if black plays accurately he should equalise against the Scotch and Italian.
However, it is also a question of style. If you like to play with small edges, I would recommend 1.d4, but for aggressive play, with some risk, 1.e4 is the move for you.
P.S. Does white really hold an advantage after Nf3 and e3 against the Gruenfeld? I think theory thinks of this as more or less equal.
Playing e4 allows the sicilian. This is a way for black to play for a win and it is objectively completely sound. There is the najdorf, sveshnikov (which i play with like 80% wins for black) dragon (not too sound though) classical (d6 and nc6) taimanov/kan, etc. Black chooses the type of game he wants for the most part and whitehas to be prepared for everything.
1.d4 allows alot less. Less theory needs to be learned. Obviously 1.d4 d5 gives white a nice positional edge with little risk. The only ways to play for a win against 1.d4 is 1...nf6 There is the King's Indian but that's obviously a little unsound and the grunfeld. The Grunfeld is good for dynamic play but white can play 3.Nf3 and 4.Bf4/Bg5/e3 and he maintains a slight edge. He can also play 4.cxd5 with the mainlines and the russian variation with 4.nf3 bg7 5.qb3. Black has to be ready for either a positional or tactical battle. The Nimzo/Bogo/Queen's Indians are the most sound ways to fight 1.d4 but undoubtedly white holds a small edge in those lines too either for his space or for his bishop pair. Black can play these for a win in these too but he needs to have strong positional skills and especially in the nimzo strong tactical skills as well. The reason d4 is better than e4 is because they are objectively of the same value but d4 allows white to dominate in choosing what type of game he wants while 1.e4 gives black much of that choice.