Not sure what "stinger" attack you are referring to.
As for killing vs capturing, for the most part it's the same drops, generally it's a better chance to get stuff with capturing but it's not always the case. There's carving FAQs on GameFAQs that detail each drop, carve, capture and reward for breaking.
For examples sake, G rank Silver Rathalos drops:
It's not possible to get Heavenly Rathalos Scales by carving his body, so the best way to get it would be to break it's head, carve tail and capture.Code:G-Level-- Reward For Breaking: Head- Damage (Any) ThckSlvrRthlsScl x1 (60%) HvySlvrRthlsShl x1 (30%) Rathalos Ruby x1 (6%) HvnlyRathalosScl x1 (4%) Wings- Damage (Any), requires one to be broken HrdFireWyvernClw x2 (80%) Wyvern Claw x5 (20%) Carve: Body-[x3] ThckSlvrRthlsScl (37%) HvySlvrRthlsShl (24%) StrRathalosWing (20%) Blazing Fire Sac (15%) Slvr Rthlos Wing (10%) FireWyvrn BrnStm (4%) Tail-[x1] LthrSlvrRthlsTal (38%) ThckSlvrRthlsScl (30%) HvySlvrRthlsShl (20%) Rathalos Ruby (6%) FireWyvrn BrnStm (4%) HvnlyRathalosScl (2%) Capture: HP below 20% HvySlvrRthlsShl x1 (60%) ThckSlvrRthlsScl x2 (24%) StrRathalosWing x2 (8%) Rathalos Ruby x1 (6%) HvnlyRathalosScl x1 (2%) Drop: Flash bombed when flying, Awakened from Sleeping Wyvern Sobs (50%) Wyvern Tears (24%) ThckSlvrRthlsScl (23%) HvnlyRathalosScl (3%)
XI Wiki


