The AI would play almost exactly the same way whenever you disable any given victory conditions as the flavor logic is for individual items (units / buildings / wonders / etc.)
If you disable science victory, that just removes the ability to build Apollo and spaceship parts.
If you disable diplomatic victory, that just removes the vote for world leader. The same AIs that want lots of city state allies will still want them.
If you disable cultural victory, that just removes victory upon being influential. The same AIs that try the hardest to get tourism will still do so.
The only place where the AI grand strategy of victory matters is them selecting an ideology. But disabling all three of science, diplomatic, and domination brings you right back to normal on average. (Those wanting culture has no impact as its marked as that victory type is marked as compatible with all three ideologies.) If you only two of those three but leave the other alone, then you would cause one ideology to be a lot less popular than normal with the AIs.