Usually, no. The overpowder card is 1/8" thick, and is intended to seal the bore from the burning gases. You don't want to put lube on its edge. The cushion wad can either be soaked in liquid lube before its used at the range or in the field, or you can wipe on soft lubes or liquid lubes on the sides of the cushion wad as you load the gun( this is slow) or you can run a bead of soft lube around the bore at the muzzle before running the cusion wad down( only a little less slow, and messy). The cushion wad is usually 1/2 to 5/8" thick, and most of us have found that using only half that thickness prevents the wad from trailing the shot and poking a hole in the middle of the pattern. The full cushion wad is so heavy, particularly when it is lubed with any kind of lube, that it follow the shot out past 20 yds. and pokes that hole in the center of the pattern. For hunting, when you are probably not going to shoot a lot, some members are finding it satisfactory to use 2 over powder cards, with some lube in between the two, and the a PRB( or a load of shot) on top of the two cards. And some shooters are doing okay with heavier charges of powder and the softer wool pre-lube wads you can buy. The wool wads don't seal the bore as well as the hard cardboard wads do, so they use more powder to get the same patterns and performance. The wool pre-lubes do a pretty good job of keeping the fouling soft.
As with everything else involving ML guns, you pick your poison and work with it. Much depends on the relative humidity where you shoot and hunt, as much humidity lkeeps the fouling softer, but also turns it into a liquid mess that can foul your next powder charge. In dry country, the lube used is rarely enough to keep the fouling soft, so you have to clean the fouling out breaking up the cake, after each shot. Where I live in the midwest, in the summer we have high humidity, and drying the barrel between shots becomes mandatory; while in the winter, its so dry that we use extra lube and then also clean between shots. Only during our brief springs, and early Falls does the weather allow us to shoot like other folks often do all year round. It took a couple of years to make me a believer on this, so don't feel stupid. In the bad old days, hunters paid attention to everything having to do with weather, and because they shot almost every day, all the year around, they made the adjustments needed to get the guns to go off. They didn't have any choice. Today, we fill our heads with all kinds of concerns other than how we are loading the guns, and why. When they hick-up, we get angy and start blaming the manufacturer of the gun, or the powder, or both. I remind fellas that there was a reason that everyone switched to shooting smokeless powder more than 100 years ago, and that when we decide to shoot ML guns, we take on all those old problems and burdens. That is what makes the shooting so much fun, and so satisfying, when you do it right. :grin: