No offense ( in fact, hats off) to your Dad or any other 68W or 18D medics that were there, but Ty's character here is Tim Wilkinson, a USAF PJ from the 24th STS.
Him and his partner Scotty Fales, were PJs assigned to the CSAR bird should shit hit the fan (which it obviously did). They fast roped in after the first bird went down.
Fales would be shot through the calf but stay and set up a casualty collection point, while Wilky continuously exposed himself to get needed supplies and wounded back to the CCP. Both would be recognized after with Fales receiving the Silver Star, and Wilkinson the AF Cross. Along with them receiving medals was Jeff Bray, a USAF Combat Controller that (although depicted in the movie to be done by the Ranger Matt Eversman) called in the little birds ALL night with their mini guns ( most danger close). He came up with the idea of marking their positions with IR strobes thus making everyone else bad guys ( the movie depicts it as them putting their strobes on the Somalis). Years later and depicted in the film 13 Hrs (another goat fuck operation without adequate support applied), the scene with Tonto marking their position with his rifle (IR again) goes back to BHD and Bray's ingenuity under fire.
Below is a Coffee or Die article highlighting Fales and Wilkinson on 10/03/90.
https://www.coffeeordie.com/scott-fales