You are right, but the choice to attempt a historically accurate reproduction is also subject to interpretation.

It simply can never be perfect. Down to the acoustics of the venue, there will always be aspects of a performance that are lost to time and can never be reproduced. And how can we even know, since no recordings exist (and if they did, that recording would introduce its own artifacts).

How many people dance to a boureé today? Can any performance of one really be be accurate outside the context of dance? Sitting politely in a huge recital hall is no at all accurate

And even then, the music falls on modern ears. We hear and understand music completely differently than ancient people did. Can we even consider anything to be accurate, since Art is experienced?

I love renaissance music, and listen to as many recordings as I can where the performer uses a vihuela, theorbo, lute, etc. It's a totally nerdy pursuit. But it’s only “accurate” to a point

The bottom line for me is that Art is subjective. Do it in the way that satisfies your urge to create. As soon as it leaves your body, it belongs to the rest of us to interpret and experience. There are no right or wrong ways to express yourself.