The `Broadcast`/`ResendWalletTransactions` interface is strange:

- it's the node saying to the wallet "Try to submit your unconfirmed transactions to the mempool again"
- it's called in one place by the node, in `SendMessages()` here: https://github.com/bitcoin/bitcoin/blob/c033c4b5cef89a654e4d9d5c5f9bd823871b068b/src/net_processing.cpp#L3515. `SendMessages()` is called on the message handling thread on a loop.
- the actual scheduling of when the wallet sends messages is handled in the `ResendWalletTransactions()` function itself, using the `nNextResend` and `nLastResend` wallet globals (which could as easily be static variables in `ResendWalletTransactions()`).

Therefore the only use of `Broadcast()` is to periodically prod the wallet. The wallet itself decides whether it's time to resend transactions. This could be done by scheduling regular calls to `ResendWalletTransactions()`, in the same way that we schedule regular wallet flushes here: https://github.com/bitcoin/bitcoin/blob/c033c4b5cef89a654e4d9d5c5f9bd823871b068b/src/wallet/init.cpp#L215.

A couple of minor implementation details:

- the call to `Broadcast()` in `SendMessages()` is protected by an if statement `if (!fReindex && !fImporting && !IsInitialBlockDownload()) {`. Those tests could be moved into `ResendWalletTransactions()` (through the `Chain` interface).
- The `Broadcast` notification passes in the `nTimeBestReceived` time of the best block. That could be fetched by `ResendWalletTransactions()` through the `Chain` interface.
{
    std::vector<std::string> values;
    for (const auto& address : mapAddressBook) {
        for (const auto& data : address.second.destdata) {
            if (!data.first.compare(0, prefix.size(), prefix)) {
                values.emplace_back(data.second);
            }
        }
    }
    return values;
}
void CWallet::MarkPreSplitKeys()
{
    WalletBatch batch(*database);
    for (auto it = setExternalKeyPool.begin(); it != setExternalKeyPool.end();) {
        int64_t index = *it;
        CKeyPool keypool;
        if (!batch.ReadPool(index, keypool)) {
            throw std::runtime_error(std::string(__func__) + ": read keypool entry failed");
        }
        keypool.m_pre_split = true;
        if (!batch.WritePool(index, keypool)) {
            throw std::runtime_error(std::string(__func__) + ": writing modified keypool entry failed");
        }
        set_pre_split_keypool.insert(index);
        it = setExternalKeyPool.erase(it);
    }
}
bool CWallet::Verify(interfaces::Chain& chain, const WalletLocation& location, bool salvage_wallet, std::string& error_string, std::string& warning_string)