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Lucius gives a +1 to a model's save if it is a damage 1 weapon. That bonus takes them to a 3+ save which changes the damage profile of grav-weapons to 2 in the case of kataphron destroyers. Both rules involve the allocation process but depending on how it is interpreted it can matter. I guess it isn't that big of a question considering they have a 6++, I still would like to know.

 CKO wrote:
Lucius gives a +1 to a model's save if it is a damage 1 weapon. That bonus takes them to a 3+ save which changes the damage profile of grav-weapons to 2 in the case of kataphron destroyers. Both rules involve the allocation process but depending on how it is interpreted it can matter. I guess it isn't that big of a question considering they have a 6++, I still would like to know.

Grav Weapons work on the Save Characteristic. Lucius modifies the ROLL, not the Characteristic. So unless they have a 2+ or 3+ on their statline, you'd stay at D1.

Destroyers, though, have a 3+ now, so Grav does do D2 to them.

Edit: In the same way that a Terminator with a Storm Shield doesn't really have a 1+ save-they have 2+ on d6+1. Saying that a Storm Shield Terminator has a 1+ is shorthand for that, but not technically accurate.

Misread that, it never procs Grav Gun.

However Bulwark doctrine IS +1 save so on their bulwark turn grav guns are in fact 2 damage.

Read the above posts again. The grav weapon works on a stat of SV 3+. The doctrine gives a +1 to the save roll. So, the guns are in fact not 2 damage.

As he noted, Bulwark Imperative does Improve your Save by 1 to no better than 2+ Save. All of the imperatives adjust the stat rather than provide modifiers. Therefore it can push a model into a Save that will trigger Grav's extra damage.