PL premium or Wood glue. PL premium is just heavy duty construction adhesive. You put it on both surfaces that you want to bond, spread it with a glue brush smooth. It takes 24 hours to cure, but it's stronger than wood glue, seals gaps better, and has a longer working time making it ideal for fixing mistakes or adjusting, screwing and drilling, etc...
Tightbond II is great too, but it's working time is short. So you would dry fit, (no glue) drill then apply the glue and screw, you only have about 5-10 minutes to get it done before glue working time is over and starts to cure. You want it set before that for maximum strength of the bond. You can add a little water to the glue to extend the working time, or use a slower cure glue like Tightbond III.
But PL premium is just a different league than wood glue. It's construction adhesive, you buy a tube and use caulk gun. It's more expensive. It's stronger, it's harder to clean up (not water soluble, it's polyurethane based) and it's thicker so it doesn't drip and stays put where you want it.
Different. both work good.