One thing you skipped is that Gatomon’s when Digivolving also allows you to return a Digimon card from your trash. I run a different version of the Silphymon deck and the synergy between the BT16 and movie promos and the older searcher Hawkmon is very good! I hope you will be able to get your hands on the promos in the future (y’know, if you want to)
Why not run the movie promo Hawkmon over that vanilla? The promo can evolve over Nyaromon and has the same inheritable as Salamon for more consistency, not to mention the searching.