That's not the topic. You display a lack of intellectual self-restraint and focus here.
This is a thread about modern Flower class corvettes/escorts, NOT for the all-too usual undisciplined thinking about gold plated stuff.
Before you try to blow up at me, why don't you figure out what escorting and anti-submarine warfare look like in the real world. The only reason to have a close convoy escort is for air defense. Using a passive sonar anywhere near a convoy of container ships going 20 knots is impossible and using an active sonar is only going to increase the signature even more. Barrier defense, either with seabed hydrophones or SURTASS ships backed up by frigates, MPAs, and USV pickets, is the best way to get cueing so targets can be localized, prosecuted, and engaged.
You already proposed a 2,500 ton, €500 million ship with a towed array and an air defense system. That is not a small, cheap combatant for any navy. Coincidentally, it is about the minimum size ship you would need to accompany container ships across a 4,000 nm transit at 20 knots. The idea that you would invest these kinds of resources in an anti-submarine focused ship that large and then cheap out by not providing the single most effective ASW tool that surface combatants can carry - a helicopter - is absurd beyond belief.
Based on the size and cost specifications you provided, you could be looking at ships like the Sigma 105, Gowind 2500, or Sa'ar 6. All of these are between 2,000 and 3,000 tons, cost around $500 million, have better air defense systems than what you talked about, and they all have hangars to carry a helicopter. You might get unit costs closer to €250 million with something closer in size and capability to a Type 056 corvette, but that smaller size starts to risk the ship's ability to keep up with container ships while still being large enough to accommodate an extensible hanger for something like a DASH. There is absolutely no reason to accept the degraded capability and range of battery-powered multicopters on a ship this large.
To make sure you didn't miss anything: ASW escorts aren't an actual requirement, hunter-killer tactics are superior to close escort, and your ideas about the size, cost, and capability of an escort corvette make little sense.
The big issue in the Pacific would be for the ship to have sufficient range to make the trip unrefueled--preferably.
You have great circle distances like 4,000 miles from Guam to Hawaii and 6,000 miles from Tokyo to California, and those distances don't include diversions, zigzagging, or maneuvering around the convoy at full speed. You don't want a warship to ever be running on fumes, so I don't think any modern warships can reasonably keep up with container ships over those distances. The closest I have seen would be the Asagiri class destroyers, which supposedly have a range of 6,000 nm at 20 knots.