Apple - Can a MacBook Air support 2560x1600 output via HDMI using a Mini DisplayPort/Thunderbolt to HMDI adaptor?

I own a 2013 MacBook Air. This is equipped with a Thunderbolt 1 port :

Mini-DisplayPort -> HDMI adapter (1920x1200 max.)

Mini-DisplayPort -> DisplayPort adapter (upto 2560x1600 max.)

I've used both and am now driving daily on my MBA 13" with a monitor running at 2560x1440.

I was unable to get anything higher than 1080p with HDMI with several different adapters and monitors. Dual link DVI works with an active mini display port to dual link DVI adapter at 2560x1440 with my MacBook Air 2012.

Given that I haven't gotten my Windows box HDMI or other laptop HDMI to go at 2560x1440 either I would have to answer 'NO' to the question for MacBook Air 2012 and earlier. MacBook Air 2013 or newer seems to work fine.

I have a 2013 Macbook Air connected to Dell monitor (2560 x 1440) which does not have DisplayPort, so I have to use a mini Displayport to HDMI adapter.

Under MacOS, as everyone else has said, it can only do 2048x1080:

However, when I Boot Camp into Windows 10, it supports the native resolution of the monitor: