The B707 also has tail anti-icing fitted.
The primary reason newer designs (including the L1011) have no tail surface anti-icing is because the stabilizer has a large angle of movement due to trim requirements...or, in the case of the TriStar, pitch control.
The older jet transports with tail anti-icing had it fitted for a reason...it was assumed it was necessary due to prior experience with piston powered types.