I'm not familiar with the Bayonetta match-up for Lucas, but here is some random stuff.
- If Lucas spaces his PK Fire well, he can avoid Witch Time. If PK Fire triggers Bat Within, Bayonetta can still get hit by the second half of PK Fire if she decides to re-appear in the same spot.
- If Lucas spaces his aerials and tilts (they all have disjoints seperate from his hurtbox, including his up-air) he may be able to safely punish Bayonetta's Vair.
- Lucas can poke Bayonetta with Zair unless the Bayonetta player knows to Witch Time it. If that happens, Lucas can try to mix it up with PK Fire.
Lucas's grab combos seems like it is the thread's reasoning for Bayonetta vs Lucas as I have seen it brought up in the past.
This is not the gif I was looking for but here is a example of the match-up on Final Destination.
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And here is a Mega Man one I ran across while looking for Bayonetta examples.
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There is even one for Shiek, but Twitter on mobile will not let me go back that far.