I made small research about supporting of 4096x4096 textures on different devices.
Any ios device starts from iphone4s and ipad2 supports 4096x4096
Top Android GPU I took here.
- And many googling…
Webstats statistics : https://webglstats.com/webgl/parameter/MAX_TEXTURE_SIZE
Hope it will be useful for somebody
Today, almost all modern devices are supported 4096x4096 textures. If you have no plans to supports really old devices you can use 4k atlases instead 2k