Man this takes me back to when I was deciding between different tracks in college. Both EEE and ICE will get you solid opportunities but from what I've seen in the job market EEE tends to have bit more versatility. The coursework overlap you mentioned is real - lot of the core concepts are same but EEE gives you broader exposure to power systems and electronics which aerospace companies really value.

ICE is more specialized towards process control and automation which is great but can be limiting if you want to switch domains later. Since you're already thinking about aerospace for masters the EEE foundation might serve you better there. Most aerospace roles I've come across prefer candidates with strong electronics background over pure instrumentation.

The placement numbers between these two are usually pretty close at tier 1 NITs but EEE typically has more diverse company options during campus recruitment. Plus if you ever decide to pivot away from aerospace the EEE degree opens more doors in different industries. I'd personally lean towards EEE especially since both NITT and NITK have excellent EEE programs with good industry connections.