Is there any foreseeable reason 0.93.3 will ever stop being able to receive transfers or sign transactions due to a Bitcoin Core version update, or for some other reason? If this version will eventually become obsolete to the point of being unusable, would that be months or years from now?
Once the new wallets are out, the current versions of Armory won't be able to sign for them.
You will still be able to create old format wallets, or convert those to the new format, with the ability to output old format unsigned transactions for older versions to sign. You won't get the benefits of BIP32/44 nor segwit if you do that however.