When in doubt, wire it up.
I rarely use a bluetooth headset for an important call. For the price, the reliability isn’t always there.
Sure it looks great walking around your kitchen with your headset on, making lunch while on a call, but what are you focusing more on at that moment in time?
Your lunch or the meeting?
You don’t need the fanciest mic and headphones, you need one that is consistent, reliable, durable and will be there when you need it.
Boil it down to what you need and not what you are going to have to switch midway through every call, especially on those important calls.