Yes. That's what I said. You get one skill point for leveling up, which is used to buy new skills or upgrade the ones you have. In addition you get an extra skill slot. This way you can buy more different skills. Compare the skill slots with an RPG-like inventory. Each level you gain one extra space to fill in, but it's not obliged/possible.
The way I understood skill slots, you get 3 total active skill slots and any number of passive skills.
The way you describe it, gaining a skill point and a skill slot every level, even if you spent every skill point you gained on a different passive skill, you would never run out of slots, so it doesn't make sense.
Didn't one of the devs say on the SD forums that "you can have as many passive skills as you have levels"? That would mean there are no passive slots.