Can someone explain why they didn't use the Tangent Ogive shape of the Ariane 5 booster?
Flight frequency? Need? Development schedule overload? Lifetime of vehicle?
Never really thought that FH has gotten the same amount of attention that F9/BFS/BFR have had.
It started out as "Falcon 9 Heavy" as a simple expedite, in part to launch those Iridium missions like last night. (I wonder if they just had bolted together three F9 1.0's and flown them as if a single expendable booster no separation of boosters, and accept the non optimality to begin.)
Instead, more like BO, they've obsessed with single core performance with enhanced engines, and the FH program has evolved constantly til the point that SLC-4E's TEL, which was intended to fly it, couldn't.
FH has become one of the last steps of the Falcon launch vehicle family, probably done before block 4/5 because you'd want to have the vehicle operational so you can apply the flight history to the reuse improvements for them to both share the FH/F9 economics closely (very much unlike DIVH which was much more problematic).
Possibly if FH has more applicability (like in the case of lunar free return flights?), the tangent ogive's might be factored in.
As for Ariane, it only flew/flies with the side boosters, so all considerations for the entire vehicle were from the start.
My only theory is for boundary layer/flow separation symmetry and controllabilty for landing (as it then becomes a "boatail" during entry and approach) and maintain known flight control algorithms from Falcon 9 S1.
Nope. What it would do is change the area affected by the larger grid fins, shifting the center line off center.
The vehicles already have to compensate for asymmetries, and on the F9 RTLS they have been using greater angle of attack on the boosters, which provokes a similar asymmetry, which the guidance software deals with as well as things like crosswinds.
They will have off kilter aerodynamics due to the strong asymmetry.
Not really.
Just shifts CP going up, shifts "ineffectual" area coming down (you could lengthen the fins still more to compensate if you needed even more control authority above transonic, but I doubt it -- it's not going to tumble

).
Also because reducing loads on the core may not be as important to this vehicle as it is to Ariane 5?
Reducing loads on the boosters means better mass fraction for all F9 boosters.
Side compressive loads on the booster core is the typical load holding the stack together, when you need it lower to max Q - the side TO cancels across the core's transverse loads bottom to top.
Also it that ULA is moving away from booster nose cones like that (the upgraded Atlas V SRBs have plain conical nose cones), so the benefits of them are clearly not significant.
The greater area/faster/longer duration of flight, the more it helps.
The benefit would be better mass fraction. If you fly enough, perhaps it matters. And its something you can do later if you want.
add:
Investigating the staging velocity and necessary choice implied, the height of the optimal tangent ogive would be above the core interstage, so perhaps there might be clearance issues with the core's gridfins that might complicate matters too.