Transaction status pending forever if fee larger than balance

[hadacnot]

I created an empty wallet. The balance is 0.
Then I created a message, using 0.25 quanta as a fee (which I do not have) .
The transaction is being relayed to the network, but stays in pending status forever, even if the raw details say 'null'.
Shouldn't it be rejected then?

Moreover, what happens to the signature? Is it relayed to the network, and so unsafe?

If, after some minutes, I switch to the send/receive tab, it still says OTS index 0, so a user could attempt to recreate a message and reuse a private key I guess.

It's true that it happens with 0 balance (and I am not willing to test with balance>0) but, if confirmed, it seems to me a critical bug.

[surg0r]

The tx should not be relayed. It is possible to relay two transactions and for them to be ordered backwards such that the first is no longer valid in terms of spendable state. We have discussed his to mitigate this dropped its previously at length (I'll dig up the issue) - but this should not be possible through the webwallet or Ledger Live.