There are posts and articles which explain this to some extent. DeepPRIME, like PRIME, is applied during the demosaic stage, before most other adjustments - but not all:
New Dxo user quick question, order of adjustments - DxO PhotoLab - DxO Forums
I can see how your question matters if you’re using PhotoLab or PureRAW to do initial processing with demosaic and then want to export for further tonal adjustments. For what it’s worth, brightening the image after RAW conversion will only reveal noise that’s already there - not add more noise. So it makes sense to correct exposure while making sure that you’re applying enough noise reduction.