Based on your post under Microwave Toolbox, I assume the two GRD products are used for oil spill detection. Therefore, I also assume the two GRD products are acquired at the same day and from the same track. In that case, I think you should preprocess each product with calibration and speckle filtering, then merge the preprocessed products using S-1 Slice Assembly operator. After that, you can subset the image to your AOI and perform oil spill detection.
Your assumptions are right. But the AOI is considerably smaller than the size of two S1 tiles. In addition I have a total number of 40 days of data to process (2 tiles per date). I was hopeful to cut the processing time by first subseting the inputs and then go through the other preprocessing steps as I want also to benefit the GPF and its batch processing tool.!