Maybe i'm not using the right input LUTS though? The LUTS I'm using on the camera footage is the 'Alexa Default LOG to REC 709' and the 'Alexa V3 K1S1 LOG to VIDEO DCIP3 EE' I've tried adding input LUTs that do REC709 to LOG to the graphics and solids, but it doesn't really work. My experience is AE compositing algorithms are usually much better the PPRO. The same holds true in After Effects, but it is a bit easier to fix there. And it seems that sometimes in fixing it, reducing the contrast etc, it I also introducing artifacts, like banding and noise, into the image.

Its rarely just an issue of increasing the opacity by 20% or something. Screen or Add modes behave very differently with a LUT over them. In particular cross dissolves, or any layering of color solids with opacity changes, especially if blending modes are set to something other than 'normal'. Which I anticipated, but I'm finding it pretty hard to correct. The contrast and color curves added by the LUT on the adjustment layer is now messing with the effects. I'm doing this so I can make my entire sequence, footage and the effects applied, translated into the flat LOG color. To get there I have disabled the input LUTs that were applied as master clips effects, and applied the same input LUT to an adjustment layer over all the footage, as a top layer in my sequence. I want to deliver a flattened LOG Quicktime. I'm now preparing the footage for the colorist, and finishing VFX work.

Ive gone about cutting and adding various effects and transitions and some compositing, both in Premiere and AE. I've been working with an input LUT applied as a master clip effect to each clip to give me rough idea of what the footage will look like. I'm working with ARRI LOG footage with intention sending the footage to a colorist to apply color adjustments.

Ee adobe premiere transition effect