now lets again ask you to do the math using jsut a small headstart
a 51% of honest network(2% advantage) is not enough hashpower to race against the honest network that is minimum 6confirm ahead
work out using math how many blocks it would take before the dishonest network can overtake the honest network

hint if just 6 confirm lead. the dishonest network with a 10% advantage(55% network) would need atleast ~44 blocks just to re-org a block that was initially just 6 blocks behind honest pools when the attack was initiated* and would need over 55 to be then 1 block ahead of the honest pools

* this is just a 6 block re-wind/re-org timeframe with a 10% lead(55% of network)
https://talkimg.com/images/2024/08/06/5vDxP.png

the more blocks a malicious pool need to go back. the more speed blocks it would require to build on from its edited block to then catch up
so if the service had a next day-72 hour goods/fiat delivery time.. the networks catchup time would be multiple factors longer to catch up

what you also find out is during those missing time blocks of dishonest catch-up time. there may be some miners working on that dishonest pool seeing that although it aided in building XX+ blocks for its pool for the pool manager to double spend pool managers funds. the miners are not seeing their attempted blocks ID and previous block ID visibly on the honest network YET, thus think they are running on some altcoin, so they would want to protect their investment, would jump to a honest pool whos blocks are visible

again the dishonest pool wont show results instantly. but would take time to get ahead of honest network to have results seen and the more blocks it has to go back the longer it takes to catch up to show results

run the math