The two types of inner splines are for Bosch or Valeo alternators usually.
I usually just take the alternator OFF the car if I suspect it is going to fight me, lay it pulley side up, fill the end of the pulley up with PB Blaster (seriously, that stuff works VERY well), and let it soak for a while.
Then I tap the center bit into the end of the alternator shaft, to get it good and seated, and try the normal method to remove it. If that does not work, and the inner splines start to want to round out and push the bit back out, I just put a 17mm socket on my 1/2" impact, place it over the pulley socket, and give it a zip and it 99% of the time comes right off.
You may be able to get in there and do this with the alternator on the engine if you remove the air cleaner and maybe loosen the fore and aft mounts and lift the engine up a couple inches. I honestly cannot remember on the older cars, been a while since I have even seen one in here.