There are several case studies on the use of lanthanum for phosphorus mitigation but they mostly pertain to large water bodies; often involving potable public water sources. That’s a high-volume market (funded by OPM 😉) that manufacturers likely (IMO) find more efficient to monetize. In contrast, the private pond market is highly fractured and challenging to educate on the concept’s merits, but is cumulatively huge.
So far, my experiences with lanthanum products (and the feedback from commercial applicators) is generally positive WHEN the product is properly and adequately deployed.
Those who own/maintain a swimming pool might be familiar with various “phosphate removers”. Guess what substance most of those products contain. Lol!