1 and 2 star crafts are "level 55". You don't get a quality boost for crafts lower than you, so for quality, Ingenuity I and II are the same. You DO get a progress bonus for lower level synths, so Ingenuity II will help on finishing quicker.

However, with 360 Craftsmanship, you can finish a 40 Durability 1-star in one Standard Synth and an 80 Durability 2-star in 2 Standard Synths with Ingenuity I.

Substitute Ingenuity II? It still requires a Standard Synth to finish a 40 durability 1-star. For 2 stars, at 360 Craftsmanship, you can use 1x Standard Synth and 1x Careful Synth II, but trying to use anything less than that requires 380+ Craftsmanship.