Yes, most hospital based care providers are going to want to start monitoring at 41w0d to ensure that baby really IS safer inside than out. I personally like the reassurance that baby is getting what it needs, but I know a lot of mamas feel as though the monitoring is a way to find something to scare mama into an induction/ERCS. You have to know what issues may arise and your comfort level with them. For me: big baby? No big deal--expected, even. Excess fluid? Same. Low fluid? Recheck. NST results aren't so cut and dry, but a certain level of unresponsiveness for me (and not feeling appropriate/enough movement too) would tell me an ERCS is necessary, but other scenarios would mean requesting a retest the next day.
It's just another thing to be educated about: first, whether you want to do it and secondly what you will choose to do with the results.