3 sourced reports, with what to check before you buy. Each one links to the page it was reported on.
Worth checking
Marketplace reviews report glass bulging, fast battery drain, freezing, and unresponsive buttons on iPhone 16 Pro Max
A Yandex Market reviewer reports the glass bulging, fast battery drain, freezing/lag, and occasional unresponsive behavior on an iPhone 16 Pro Max. This is a single owner report on a marketplace — weaker evidence than forum threads, but it documents multiple concurrent failure modes.
What to check. This is one owner's report on a marketplace; treat it as anecdotal. If you experience glass bulging, that is a serious hardware issue warranting immediate Apple service.
iPhone 16 Pro Max battery drains faster than expected, Apple Intelligence and Always-On Display contribute
BGR's reviewer reports the iPhone 16 Pro Max battery drains faster than expected, and that disabling Always-On Display and Apple Intelligence significantly improved battery life. This is a configuration-dependent drain rather than a defect.
What to check. If battery life disappoints, try disabling Always-On Display and Apple Intelligence — BGR reports these two settings materially improve endurance on the 16 Pro Max.
iPhone 16 Pro Max can show vertical green/pink/white OLED line defects
A UK repair shop's guide documents vertical green, pink, or white lines on the iPhone 16 Pro Max, typically from physical impact or connection issues, occasionally manufacturing faults. Repair requires full OLED screen assembly replacement.
What to check. If lines appear on the display, the screen assembly likely needs replacement. This is costly out of warranty; check Apple warranty coverage first. Avoid drops and pressure on the display.
These reports come from the pages linked under each item: owner forums, repair guides and workshops. They are not a diagnosis of any one unit, and a careful check of the one you are buying still applies.
Text from the Kriko Smartphones catalog, version 0.1.1, under the CC-BY-SA-4.0 license.