I think that from my experience of completing apps (might not be the best way) in both questions you’d be answering why this opportunity. For a lot of my ‘why this firm’ answers I will touch on the programme and what about it makes me attracted to the opportunity. The best advice I got was to make sure my application is for the role I’m applying for. Sometimes it’s easy in apps for vs and internships to try and focus on the end prize ‘the Tc’ (I know it was for me lol) but a mentor advised me that’s not what forms are looking for, they want you to be excited my the current experience too since that’s technically what you’re applying for. Without seeing someone’s specific answers no one can say if they need to be rewritten, but in my experience when I have reapplied for different but similar opportunities at the same firm, rereading my apps meant I had to make slight changes so that grad rec knew I actually wanted position I was applying forI see, thank you.
But would that be something to mention at interview or in the application itself?
Like I imagine if they asked in the interview "why do you want to do the VS with us" you would mention that it's a great opportunity to get an insight into the firm and show you what a TC there would be like, but if the application question is just "what attracts you to our firm" or something along those lines, then the answer would be pretty much the same whether you're applying for the VS or TC, no?