Yes, Heavy Samurais can do nothing against a single Samurai destroyer.
So pressing the surrender button means that Samurai destroyer won't be able to attack you anymore, effectively negating the monster.
Lately I've been using a few lvl 7+ Ancient Gear machines (relatively easy to summon tributing Waraji, and SHS decks tend to keep the field crowded anyways). All of their ATKs > SamuraiDestroyer's.