Hammers are expensive.Well you'd still be wrong because the only thing that happened was ladder being dumb. Tinkaton is well regarded and a strong pick in the tier. Also chill. You're acting like Tinkaton emptied your whole live savings or something.
Only issue I see with this is Smack Down is a LOT more prediction reliant, since it won't produce significant damage output on its own and you essentially need to tag them on the switch for max Momentum gains. Corv would have time to grab an Iron Defense or take off a chunk with Brave Bird, Moltres could Wisp, etc. Smack Down has to get them on entry rather than functioning on the "first" turn as well like Stone Edge could.You could use Smack Down if you really want to kill the birds... also Headlong is stronger than Rock Slide vs Kyurem. Smack Down lets you beat Corv and Zapdos, while also 2HKOing Moltres without making contact.
Not to say the benefits don't exist: Corv takes a decent chunk if HLR is neutral and thus is much riskier to U-Turn rather than hard-switch, while Zap and Moltres obviously get gobsmacked if they're grounded and don't Tera. At the same time, this depends on Tusk having to run HLR as its STAB since Earthquake is significantly easier for these mons to play around (Zapdos has a chance to survive Smack Down -> EQ vs Smack Down -> HLR), and HLR obviously opens it back up to Contact punishment in these scenarios.
I feel like ultimately, dealing with these mons isn't something Tusk can do efficiently enough to go any deeper than Stone Edge as a lure to grab immediate results. If you want Tusk to not get stopped by Birds, I think you'd be better served by something apparent but still consistent.