I'm not sure what you mean by a liquid phosphate remover, but the only method mentioned in this thread that consumes O2 is organic carbon dosing (such as NOPOX). Macroalgae (e.g., chaetomorpha) will also reduce O2 when not lit.
IMO, I would not have made the statement that lowered pH cannot dissolve lanthanum phosphate, but it isn't likely to be a big problem if it happens since it will just seem like a small amount of extra food adding phosphate to the tank.
FWIW, if phosphate is elevated and nitrate is not, then a balanced method like macroalgae likely won't work because it needs both and may run out of nitrate first.
Organic carbon dosing is not a particularly good choice if phosphate reduction is the primary goal because it is imbalanced to a lot more nitrate reduction than phosphate.