TL;DR: Sawk gets a god tier Lenora and way better Clay split than pup, when combined with being able to extend past Xtransciever calls (this will make the route complete ass again) means it should be slightly faster than using Pup for Any%, it also gets inner focus so no dumb fake outs every 5 seconds (Sawk should be ridiculously consistent after Elesa outside of Caitlin which is an awful fight)


VS Lillipup route after Nacrene city (rough timings not an exact science but should be somewhat accurate, sawk timings are based off a very rough and likely sub-optimal route)

Timelosses:

Dusk Ball: 9s
Running detour to Sawk Grass: 20s
Save And Reset: 38s
Set time: 12s
Weaken and catch Sawk: 30s
Ether: 11s
Harlequins: 2 turns: 10s
Sandstorm: 7.5s
Grunt: 1 Turn: 5s
N: 1 Turn + Sand Tomb: 8s
Emolgas: 1 turn: 5s
Elesa: 1 turn: 5s
Bianca: 2 Turns: 10s
Psychic: 1 Turn: 5s
Pilot: 1 Turn: 5s
Worker: 1 Turn: 5s
Cheren: Half a turn: 2.5s
Shauntal: 4 turns: 20s
Caitlin: 4 Turns: 22s
Extra Battle Text: 37.5s (~125 total extra textboxes) 
Learning Moves: 43s
Trying to Learn Moves: 27s

Total = 9+20+38+12+10+11+10+7.5+5+8+5+5+10+5+5+5+2.5+20+22+37.5+43+27

Total Timelosses: 337.5


Timesaves:  
Skip Evolution: 26s
Skip R3 Candy: 9s
N2: 1 Turn: 5s
Schoolkid: 1 Turn: 5s
Scientist: 2 Turns: 10s
Person: 1 Turn: 5s
Lenora: 6 turns: 32s
Pinwheel: 2 Heals: 18s
Burgh: 1 Turn: 5s
Evolution: 26s
Cheren: 1 Turn: 9s
Preschoolers: 1 Turn: 6-7s
Skip PP UP: 8s
Clay: 2 Turns: 12s
Post Clay: no Heal: 6s
Skip 2nd Elixir: 8s
N: 3 Turns: 15s
Faster than Swoobat: 2.5s
Unfezant Range: 1s
Cheren: NO Fake Out: 3s
Hiker: 1 turn: 6s
Brycen: 1 turn: 5s
Veteran: 1 Turn: 5s
Drayden: 1 Turn: 5s
Ace: Always faster: 1s
Grimsley: Always sweep: 10s
Marshal: 3 Turns: 17s
N: 2 turns: 10s
Ghetsis: about even
Recoil: 14s
Text: 11.5s
Trying to Learn moves: 13.5s
Learning moves: 16s

Total = 9+5+5+10+5+32+18+5+26+9+7+8+12+6+8+15+2.5+1+3+6+5+5+5+1+10+17+10+14+11.5+13.5+16

Total Timesaves: 326.5

Assumptions:

>1 heal Lenora gym with Lillipup which is insanely hard to get.
>Perfect Burgh Poison Rng for both
>No Static BS
>Average Range luck
>No Flinches/crits on Clay
>Healless Burgh split (much more likely with Sawk)
>Sand tomb hit turn 2 on N3
>Equal number of heals in Elesa gym (Sawk sometimes has more, but doesn't need to heal after ever)
>Equal number of Post Elesa heals before e4 (Sawk usually needs 1 fewer heal than Pup but sometimes will need the same)
>No Fake Outs (except Grimsley and Cheren 5) extremely unlikely to happen, Sawk avoids flinching with inner focus, saving 3s each time this happens.

If you avoid evolution before Nacrene Sawk vs Lillipup is roughly:

Total = 337.5-326.5
	  = +14s from Wellspring enter

Additional 6.5s timesave from Oshawott + Pansear vs Lillipup earlygame

Total = 7.5s slower