Refresh rate and resolution are somewhat tied together. That's why as the resolution goes up, the max supported refresh rate usually goes down. HDMI tops out at 100Hz on this monitor and DisplayPort/Thunderbolt goes much higher. A 4k display has over 3 million more pixels it has to push compared to a 1440p ultra wide. That 3 million pixel headroom allows for a higher refresh rate at a lower resolution. My monitor is receiving a 3440x1440 signal at 144 Hz just fine from my M1 mac mini over the USB-C to DisplayPort adapter I am using, It's just having issues when waking from sleep, so I went into system prefs today and told it not to sleep when the display is off. It may be a flaky adapter too, who knows.
Once you use a 120Hz+ display for anything, it is hard to go back to 60Hz, gaming or not. Unless you are doing work that needs extreme color accuracy, then the high refresh rate monitors tend to be less accurate there.