Not all of your supplemental training will transfer as directly to Muay Thai performance as others, but it also doesn’t need to. In fact, you’ll run into problems if all your training does.
heatrick.com/2015/10/27/muay-thai-specific-strength-and-conditioning-part-2/
So what’s the deal, should your training be Muay Thai specific or not?
Training specificity is a continuum, from general to highly specific. There’s a time and a place for all of it, but the trick is to understand what to do and when. It’s also important to understand what exercises and drills help, and which ones hinder your Muay Thai athletic development. Oh yes, some practices do more damage to your Muay Thai than they enhance!
heatrick.com/2015/10/27/muay-thai-specific-strength-and-conditioning-part-2/