
Depends entirely on the emotional state behind the "hate". My brother's dog, Tia, when out on a walk and on a lead, is the devil incarnate - I've never seen a dog react more violently than she does when she sees another dog, and it gets worse the closer they get. But as much as it looks like she hates them, she doesn't - off lead she's reserved but fine, and will even play with them. She can meet more or less any dog in her own home and be fine with them. With her, it's fear caused by losing her option of flight (trapped on the lead).
One of my own dogs reacts very strongly to other dogs when she's on a walk, almost the same as my brother's dog (but nowhere near as dramatically). Unlike Tia though, Soli's reactions are again caused by fear, but it's down to lack of socialisation as a pup so she finds strange dogs unpredictable and frightening. She actually reacts worse off-lead because she gets to charge them, that gets the adrenalin going and she reacts more. But I've had her for 7 months, and she's made tremendous progress - we've gone from her reacting at around 50-6o feet at full throttle, to reacting some of the time at 10 feet or even right down to just a few feet, and sometimes not at all beyond a few hackles being raised.
So as I said first, it would depends on the emotions behind the hatred, previous experiences etc. Remy, as another exmaple (tho not quite in keeping with your Q) has hated all boxers for some time since a run-in with a young male, and even went for a neighbour's bitch at the height of the issue: with a little work, and help from a friend with boxers, he's much, much better and not too long ago greeted one and play bowed, even with both him and the other dog on leads.