Yup, probably going to see very little improvement right out of the box, as far as average cruising speed goes.
It still takes a certain amount of power to go a distance at a given speed, and aero doesn’t play as big of a factor until you’re well above MUP speeds

Depending on how the gear spread lines up compared to the other bike, ie; tighter spacing, more speeds to choose from, you might be to dial in to a ‘better’ gear for a given stretch of road.

The differences in road bike geometry vs your hybrid generally make it quicker and more responsive to acceleration like sprints, starts and climbs. It’ll probably feel a whole lot faster.
Same goes for different rolling stock; stiffer, faster rolling wheels and tires contribute to a more lively ride feel, as well as making it faster to go down the road