That said - you're also in a situation where you've got someone else helping with the pool care who isn't here and seeing what we do, so you might be getting some conflicting advice. In the name of matrimonial harmony, you might need to blend a little when you can.
If he really really wants to put the clarifier in, then I wouldn't stop him. Just be sure he follows the directions for how much to add and doesn't just dump the whole bottle.
Phosphate remover, I would tell him that you read that it will create little packets of goo on the bottom you have to remove and if you can't see the bottom, it's not going to be easy to get that out. Here's a photo from when I used it with clear water:
I'd recommend telling him you should wait until the pool is clear for that and stick to elevated Chlorine to ensure no more algae forms.