I ran bitcoin-qt with an old wallet, causing it to rescan, then stopped it with a SIGINT signal, resulting in the following log. Nothing unexpected, so far:
```
2022-03-05T16:01:03Z init message: Loading wallet…
2022-03-05T16:01:03Z BerkeleyEnvironment::Open: LogDir=…/.bitcoin/database ErrorFile=…/.bitcoin/db.log
2022-03-05T15:57:18Z [walletname.dat] Wallet File Version = 159900
2022-03-05T15:57:18Z [walletname.dat] Keys: 2397 plaintext, 0 encrypted, 2397 w/ metadata, 2397 total. Unknown wallet records: 0
2022-03-05T15:57:18Z [walletname.dat] Wallet completed loading in              65ms
2022-03-05T15:57:18Z init message: Rescanning…
2022-03-05T15:57:18Z [walletname.dat] Rescanning last 134072 blocks (from block 591711)...
2022-03-05T15:57:18Z [walletname.dat] Rescan started from block 000000000000000000075fcc1872da61f45bcfd0e0bb36b7c8cb45e7a328ad41...
2022-03-05T15:58:18Z [walletname.dat] Still rescanning. At block 593552. Progress=0.632716
2022-03-05T15:59:18Z [walletname.dat] Still rescanning. At block 595458. Progress=0.638084
2022-03-05T15:59:37Z [walletname.dat] Rescan interrupted by shutdown request at block 596080. Progress=0.639932
2022-03-05T15:59:37Z Error: Failed to rescan the wallet during initialization
2022-03-05T15:59:41Z GUI: initializeResult : Initialization result:  false
2022-03-05T15:59:41Z GUI: requestShutdown : Requesting shutdown
2022-03-05T15:59:41Z GUI: Running Shutdown in thread
2022-03-05T15:59:41Z Shutdown: In progress...
2022-03-05T15:59:41Z scheduler thread exit
2022-03-05T15:59:42Z Shutdown: done
2022-03-05T15:59:42Z GUI: Shutdown finished
2022-03-05T15:59:42Z GUI: ~InitExecutor : Stopping thread
2022-03-05T15:59:42Z GUI: ~InitExecutor : Stopped thread
```

However, the next time it was launched, the rescan didn't continue, nor did it start over. It seems to have been skipped?
```
2022-03-05T16:01:03Z init message: Loading wallet…
2022-03-05T16:01:03Z BerkeleyEnvironment::Open: LogDir=…/.bitcoin/database ErrorFile=…/.bitcoin/db.log
2022-03-05T16:01:03Z [walletname.dat] Wallet File Version = 159900
2022-03-05T16:01:03Z [walletname.dat] Keys: 2397 plaintext, 0 encrypted, 2397 w/ metadata, 2397 total. Unknown wallet records: 0
2022-03-05T16:01:03Z [walletname.dat] Wallet completed loading in              91ms
2022-03-05T16:01:03Z [walletname.dat] setKeyPool.size() = 2000
2022-03-05T16:01:03Z [walletname.dat] mapWallet.size() = 378
2022-03-05T16:01:03Z [walletname.dat] m_address_book.size() = 183
2022-03-05T16:01:03Z Loaded 2 addresses from "anchors.dat"
```

I didn't investigate deeply, but could it be that despite the failed rescan, the new tip block was stored in the wallet? if so, this would be confusing.
void AddToSpends(const uint256& wtxid, WalletBatch* batch = nullptr) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
    /**
     * Add a transaction to the wallet, or update it.  confirm.block_* should
     * be set when the transaction was known to be included in a block.  When
     * block_hash.IsNull(), then wallet state is not updated in AddToWallet, but
     * notifications happen and cached balances are marked dirty.
     *
     * If fUpdate is true, existing transactions will be updated.
     * TODO: One exception to this is that the abandoned state is cleared under the
     * assumption that any further notification of a transaction that was considered
     * abandoned is an indication that it is not safe to be considered abandoned.
     * Abandoned state should probably be more carefully tracked via different
     * chain notifications or by checking mempool presence when necessary.
     *
     * Should be called with rescanning_old_block set to true, if the transaction is
     * not discovered in real time, but during a rescan of old blocks.
     */
    bool AddToWalletIfInvolvingMe(const CTransactionRef& tx, const SyncTxState& state, bool fUpdate, bool rescanning_old_block) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
    
    void MarkConflicted(const uint256& hashBlock, int conflicting_height, const uint256& hashTx);
    
    void MarkInputsDirty(const CTransactionRef& tx) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
    void SyncMetaData(std::pair<TxSpends::iterator, TxSpends::iterator>) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
    void SyncTransaction(const CTransactionRef& tx, const SyncTxState& state, bool update_tx = true, bool rescanning_old_block = false) EXCLUSIVE_LOCKS_REQUIRED(cs_wallet);
    
    std::atomic<uint64_t> m_wallet_flags{0};
    bool SetAddressBookWithDB(WalletBatch& batch, const CTxDestination& address, const std::string& strName, const std::string& strPurpose);
    
    void UnsetWalletFlagWithDB(WalletBatch& batch, uint64_t flag);