Can reverse items gain stats that they didn't originally have?

For example, lets say I make a Reverse Warrior Glove. Clean with no gems/crystals/level ups, it gives +6 STR and +4 DEX. Lets say I put an accuracy and speed crystal on it before I make it. After I make it, I immediately scroll it with glove attacks scrolls, and at least one works. When the glove level ups, will it gain accuracy/speed/attack, or will it only gain STR and DEX when it levels up?