I'm confused about NSTs, WWYD?

I have two different drs with differing opinions. Im 32 weeks right now, and im 38 years old, this will be our first born. My pregnancy is going well, no GD or pre-eclampsia. One dr is telling me they want me to do weekly NSTs starting at 36 weeks, simply because I'm "so old." The other dr told me they do not recommend this unless you are 40 or older. So I have 2 different opinions. The one that doesn't think it is necessary said it may help me be less anxious, or it could make me much MORE anxious if baby is sleeping and they aren't seeing what they want. Ugh