No support for OES_texture_float, but WebGL2 is available

Question

I've been surprised to find out that my Android phone does not support OES_texture_float extension, but fully supports WebGL2, which has floating texture functionality as baseline. What could cause the lack of their support in WebGL1, and is there any way around it, besides emulating float textures in shaders or migrating everything to WebGL2 (which would require a massive rewrite of everything to support both options)?

Edit: it seems the answer to WebGL: Declining support for OES_texture_float on Android covers part of this question, though it seems strange that they expect us to move to WebGL2 which requires a lot of work to maintain backwards compatibility.