Ties are cut on the bias
Diagonal cutting across the fabric grain gives the tie its elasticity, drape, and ability to hold a knot.
The point is a result of the cut, not a design goal
The tapering arrow shape is a natural consequence of the bias cut. The point is where the angled shape ends.
Bias cut allows repeated knotting
Straight-cut fabric would bunch, crease permanently, and lose shape after a few knots. Bias-cut fabric recovers.
Myth: the arrow shape is purely stylistic
The shape is structurally required by the cutting method that makes ties functional. Aesthetics follow from engineering.