If i wear it to gain 2 standing stones, and take it off... what happens? Do i keep the effects of both standing stones or only the effects of the former/latter?
This is worth some personal testing.
I currently have the crown in my end table,
not even in my inventory, and the two chosen stones are shown as active on my Active page.
1. Initially it would remove the previous stone when unequipped and the Active page would reflect this.
2. So I unequipped the crown, chose a third unwanted stone, then went and chose what would be my secondary stone.
3. I then travelled to my primary stone, chose the stone,
then equipped the crown.
4. After unequipping the crown, both my desired primary/secondary stones remain active.
5. I stored the crown in the end table in my Alchemist's Shack and my Active Effects tab clearly shows both Lord and Warrior as active.
6. They haven't changed in well over 30+ hours of additional gameplay.
We don't yet clearly know if you need the crown equipped or just to choose your stones.
Whether glitch or intended gameplay, my current Dawnguard character has two active Standing Stones
and is wearing a helm, not the crown.
Time will tell but, for now, perhaps you can try the above steps for yourself and see what happens.
Hope that helps