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Yes you can hold in either and get the sharedrops.

Openledger is just a business (with it own UI) that runs on top of bitshares. So if you use bitshares native wallet or openledger they both use the same bitshares blockchain

Thank you sir, so anything that needs to be done besides holding the coins in there to get share drops?! And did I read right that half goes to sharedrops, and half to burning coins right now because that's what everyone voted for? Or did I get something wrong?