In the log I see things like:

    2017-09-13 03:54:33 init message: Rescanning...
    2017-09-13 03:54:33 Rescanning last 68616 blocks (from block 416339)...
    2017-09-13 03:54:40 AddToWallet xxxxx  update
    2017-09-13 03:55:33 Still rescanning. At block 418849. Progress=0.549138

I would be interested to see the wallet file name on each of these log lines.

Would there be any interest in merging such a PR?
if (!request.params[2].isNull())
        fRescan = request.params[2].get_bool();
    if (fRescan && fPruneMode)
        throw JSONRPCError(RPC_WALLET_ERROR, "Rescan is disabled in pruned mode");
    WalletRescanReserver reserver(pwallet);
    if (fRescan && !reserver.reserve()) {
        throw JSONRPCError(RPC_WALLET_ERROR, "Wallet is currently rescanning. Abort existing rescan or wait.");
    }
    if (!IsHex(request.params[0].get_str()))
        throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Pubkey must be a hex string");
    std::vector<unsigned char> data(ParseHex(request.params[0].get_str()));
    CPubKey pubKey(data.begin(), data.end());
    if (!pubKey.IsFullyValid())
        throw JSONRPCError(RPC_INVALID_ADDRESS_OR_KEY, "Pubkey is not a valid public key");
    {
        LOCK2(cs_main, pwallet->cs_wallet);
        for (const auto& dest : GetAllDestinationsForKey(pubKey)) {
            ImportAddress(pwallet, dest, strLabel);
        }
        ImportScript(pwallet, GetScriptForRawPubKey(pubKey), strLabel, false);
        pwallet->LearnAllRelatedScripts(pubKey);
    }
    if (fRescan)
    {
        RescanWallet(*pwallet, reserver);
        pwallet->ReacceptWalletTransactions();
    }
    return NullUniValue;
}
UniValue importwallet(const JSONRPCRequest& request)