Rec709 Color Space?

Don’t use Standard. The Standard option will render your image incorrectly. As you can see here:

I believe AE has a plugin for OCIO, you should be able to use that plugin to load up Blender’s OCIO config and use Filmic in AE.

Again, colorspaces each has three components: Primaries, White Point (which chromaticity do you encode as R=G=B), and transfer function (like power function, or some other curves etc.)

sRGB uses the same primaries and white point (D65) as Rec.709, which means we can say sRGB and Rec.709 are only different in their transfer functions. Generally we can say Linear sRGB (sRGB with Linear tranfer function) = Linear Rec.709 (Rec.709 with Linear transfer function). Their relationship is closer than you think.

This means unfortunately AE by default is not capable of handling open domain (0 to infinity) data like EXR, but again I have heard there is a plugin to load OCIO so you can give it a try. I haven’t tried it though.