I've just finished some experiments and my opinion is that ammonia speeds up H2O2 decomposition.
You can buy unstabilised H2O2 (I believe food grade and maybe pharma grade) but most of it used in chemistry is stabilised (H3PO4, Na2[Sn(OH)6] etc.)
There is no need to have alkaline environment to dissolve W as pertungstic acid is formed in excess of H2O2 which is better soluble than poorly
soluble tungstic acid. Alkaline environment just speeds up H2O2 decomposition.