As long as the rolling circumference of both sets of tyres are "equivalent", there will be little difference. For instance, going from a 235/45 17" tyre to a 235/40 18" tyre will be near enough equivalent.
Other small factors do have small effects, but I wouldn't expect them to be very noticeable. Tyre rolling resistance, tyre and wheel total weight, and drag from wider tyres will all be "small".
Cheerz
Mark H