I've managed to fix this by adding the missing line: RETAIL_FRIDGE to 'Valid Inventory Types' in the relevant tuning files using Sims 4 Studio. It works. I dragged apples and dragon fruit to the Lice Freezer and they went in just fine. Basically, it's the harvestables that needed updating, not the freezer. I have to update all of them one by one. Hopefully, I'll have time to finish tomorrow and will share if anyone wants it. Didn't take as long as I thought.
Download the fix here: https://drive.google.com/open?id=1eU-LAUVKj8A4Ksy2bOizuURutsRACfW-
This is an override for the fruits and the veggies like spinach, basil, etc. I will update it with the new harvestables from Seasons, but no guarantee that I'll update it any further.
There's a different bug where no matter how much you fill the freezer, it never looks full on the outside. EA has to fix that one.
ETA: This was made with the Seasons patch. May not work with older patches, so use at your own risk.
*June 24, 2018 Updated to include green beans, bell peppers, green peas, and money fruit from Seasons.