re: YT video of a scale model of carbon fiber implosion.

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You can see the implosion occurred at 80 bar (1160 psig). That just over 800 meters (2625 feet) water depth.

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Except the difference is that they were at 3,000 feet below sea level and the pressure was well over 10,000 psi.

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Eh, those numbers are wrong. The number bandied about for Titan at implosion was 3000 meters down, which is about 9,800 feet. To come at it from another perspective, if (as reported) they were 1.75 hours into a 2.50 hour descent at a constant speed, going down to 12,500 feet, then they would have been at about 8,750 feet.

As for the pressure at that depth, the National Oceanic and Atmospheric Administration says, "The pressure increases about one atmosphere for every 10 meters of water depth." One atmosphere (1 atm) is about 14.7 psi. So at 3000 m deep, the pressure is about 300 atm = 4400 psi.

[ETA]
You can easily enough check the calcs yourself, remembering that 1" = 2.54 cm, 1 cc = 1 cm^2, and that much water weighs 1 g. So a 1 m tall column of water of 1 sq. in. has a volume of 2.54 x 2.54 x 100 cm = 645 cm^2, therefore a weight of 645 g = 0.645 kg. Since 1 kg weighs 2.2046 lb, that's 1.42 psi per meter down. At 3000 m, we get 1.42 x 3,000 = 4267 psi.