Different bullets can have different ogives, the arc from the waist of the bullet to the tip. That's all it takes to push the rifling contact point around. Most ar stuff like has been mentioned is limited by the magazine length. The 80 grainers and up are meant to be loaded longer than mag length and single loaded not through the magazine. You shouldn't be running into this issue at mag length.
I sit corrected by the post below, not an AR most likely.
OP, really it's not that big a deal to seat a bit farther. Yes you have to set the seater for the new depth.
If you wish to come back to this setting, you can run a line with a paint marker on blue parts or el marko for in the white. lock nut, stem, and die body. Then move it for the new bullet, when done if you were going back to the old bullet permanently just re align your marks. Also good to see if they wander on your. I once ran into your situation when my lock nut loosened and the works were backing out.
Another thing I do for my varmint guns or pretend sniper rifles is to find out what seating length each bullet type contacts the rifling. There are different reloading tools to help you check your length to the rifling. One can make a simple one for each caliber by simply cutting your neck on a piece of brass with 4 longitudinal slots right out the mouth. The 4 petals will hold a bullet like a collet. Stick it in long and carefully close the bolt and let the rifling seat the bullet to the depth. It's a little finicky but it is one way. You could also just take the bolt out and press the modified brass with bullet combo In with a pencil. Another kind of course measure is with a cleaning rod down the muzzle. First stick the rod down the bore from the muzzle to the bolt face, hold it there and put a piece of scotch tape around the rod flush with the muzzle. Retract rod 5 inch or so. Insert bullet only into chamber and hold it lightly against the rifling with a pencil. Move rod to contact bullet tip. Apply another piece of tape flush with the muzzle. Measure from the edge of tape to the edge of tape (both sides were across the muzzle, not the space in between the two pieces of tape.
Record your number somewhere you keep your gun info. It's kind of neat to be able to repeat the test and check for throat erosion. Save the exact bullet though in a labled zip lock as all bullets from the box aren't the same.