Two things that I immediately think of that nobody has ever mentioned in the eternal debate:
1. You can also hold the bat by the barrel and make it a much lighter rigid weapon. Basically turning it into an R1 light attack.
2. You can use thrust attacks like a spear with the bat to maintain the distance advantage.
Those are both bad plays; you're diminishing the bat's strengths for a mediocre short range blunt attack, the worst of both worlds. Who is threatened by a bat thrust? It lacks the power of the swing and it's so slow to retract the knife user can easily grab the bat.
The true answer depends on where the fight is taking place. Indoors or in a confined area like a narrow alley? Go for knife. The bat will get caught up on shit and diminish it's threatening range, and it can't thrust effectively, allowing knife to get up close.
Outdoors or in an open area like an empty warehouse? Bat all the way. Knife has to try to get in and bat has the range to keep the attacker out, and an open environment allows the bat user to maintain spacing. Punish attempts to get in, disable the knife user then go for the kill.
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