As the taper of an arrow point is reduced, there will be less penetration, but the target cover will suffer, regardless whether one uses the box style target or the bag style. The covers that I have found to be high quality is the Spyder Web and the Morrell Extreme 3. I mainly shoot field points.
As for the Spyder Web target getting shot up, turn the target on a bit of an angle. This way there is less chance of the arrow penetrating as deep due to not hitting a previously shot hole. The target is shootable on two sides and if you rotate the target 90 degrees once in a while and use the angle shots, it will last a lot longer.
Due to living in town, I am shooting my Barnett Ghost 410 in my shop at 17 1/2 feet from the front of the riser to the front of the target. This crossbow is shooting the 20" Carbon Express Pile Driver 450 grain arrow-point combination averaging 420 to 423 feet per second.
The red dots on the enclosed target picture are 1/2". When you click on the picture of the target to enlarge it, you will see 4 each one inch squares inside the 2" heavy lined square. In each one inch square I end up putting a 3/4" dot and shoot 8 arrows before retrieving them. I shoot 4 arrows in one row say using either the red dots or suppose I shoot the left top corner of the main two inch square. I then drop down a to the next 2" square of rows and shoot the next 4 arrows. All my arrows are a minimum of 2" apart.
Counting the red dots give a total of 20 spots. Each 2" square shooting a 3/4" dot in the small 1" squares will give another 80 spots. On this 8 1/2" x 11" sheet of card stock computer paper, I can have a total of 100 spots. I use card stock because it is tougher paper and does not rip as easily. When replacing this target, I install the new one next to it.
My Spyder Web ST 24 XL No Speed Limit target is listed as 15" thick x 24" x 24" and weighs 62 pound. The box frame is actually 12". This target bulges out in the center so it can average 12" at the edge to 15" thick as one nears the center. This is a very high quality target, very well packed with tough material.
All the best.