OP is the original poster. I don't think that there is another word that can encompass what an aidrop is in the context of cryptocurrencies. I dare to say that the vast majority (or a significant number) of all the coins out there were created as a fork of another or at least used part of the code from another project. Steem has had several forks in it's history but only Hive retained the transaction history. Most of them started from zero.

I have never seen anyone argue from an entitlement perspective for the right to receive coins from a fork of another chain. If we use history the closest one that I can think of that is similar to the HIVE situation was the one that created ETH and ETH Classic. The ETH fork removed coins from the DAO hackers wallet but ETH Classic retained them.

The whole point of the ETH fork was to reverse the hack of the DAO and the whole point of the HIVE fork was to remove the stake that was sybil attacking the chain. But the ETH classic supporters never argued for the right of the DAO hacker to retain the coins on the ETH side of the fork (to my knowledge). Hive is unique in that regard, the people that supported Justin Sun (and some people on Hive and Steem who did not support the Tron takeover) see the exclusion of certain accounts as unjustified (when it was the whole point of the split).