In the end, it boils down to this:

Alice must be fast to make a "counter offensive" transaction against the attacker, which can never be guaranteed because transactions can always be ignored.

Thus, in order to solve this, time should not play a role in security (in this context). Can we come up with another solution for securing the lightning network?

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It is really difficult (potentially costly) to utilize this vulnerability(but maybe not for governments).

migitating this attack can

by rebroadcasting your redeeming transaction many times with higher fee. This forces them to create a new transaction with higher fees.

by looking for certain transactions in order to know as fast as possible if someone is trying to tamper with you.

To completely solve it there are some proposals (some requiring consensus) that change the way the channel contract is set up.

also watching nodes and not accepting channels under cerain rules helps migitae this attack.

I am not very very knowledgable in this mater, search also for yourself about this issue.