It is only really stressful when you're learning it.
I'll put it to people like this, if your training you feel like your brain is moving 100 MPH and you want to do everything right and correct. Everyone does certain things differently, and being told your way is wrong and to do it a different way is probably the stressful part. Molding to what training is is hard, and is by far the hardest part of this job
As far as when you're done and checked out.... it really can only get stressful and annoying on bad weather/ride days. Otherwise it is relatively easy
For me, because of all the training I've been stuck on the "hard" sector for large parts of my day and I get annoyed being there all day because every pilot complains about the same rides after I just told them.
"Continuous Light chop all altitudes, you'd have to go as low as FL260 for a better ride"... "OK center, hows the ride at FL320?".... Did you not just hear what I fukn said?!
On a day to day basis no it isn't as stressful as people say. Most days, the hardest part is showing up to work. I have so much sick leave and annual still saved up, every day I tell myself it'd be so easy to call out. 90% of the time it is easy... which is all relative