Any recorded activity or new intervention, not normally done by the patient adds bias, people are motivated to do this activity to fill it in for a person they perceive to be in authority eg. therapist, to be a good study participant.
Similarly with wearing an actigraph (embedded in an iWatch and presumably a Fitbit). When you have to actively put this on, after showering, wear it an bed etc it is a conscious action.
I personally don’t use tech or diaries, I work out how I am feeling by listening to my body and making my own judgement on my physical state of health and what measures I should be doing to improve things based on past experience.
I think you make a good point about any recording by a patient taking part in a study that asks them to behave differently, such as keeping an activity or diet diary, or wearing an actimeter, will to some extent change their behaviour. So if someone would find it an imposition to wear a device and have to remember to take it off for showering and for recharging its battery does have an impact. Similarly having to write down daily or even hourly activity on paper or an app is an imposition, and uses energy. For me keeping an activity diary was a far more intrusive imposition than wearing a fitbit.
I certainly changed my behaviour when I started wearing a fitbit insead of a watch, but not because of the fact I was wearing it, since I was accustomed to a watch on the same wrist, but because looking at the step counts and heart rates helped me to pace better and crash less often. But I think the point is, if I were part of an ongoing study, that wouldn't matter at all, since the whole point is to get an accurate reflection of what I actually do and am able to sustain doing over months or years.
I would assume that anyone who didn't feel able to cope with wearing an actometer over a period of months, and probably filling in some sort of symptoms scoring on an app each day as well, would simply choose not to participate in a study that requires these.
Edit to add: I think if a study includes treatment, and if actimeters are being used as an outcome measure, then it would be important to get the participants to wear the actimeter and record symptoms for at least a few months before they start the treatment, both to acclimatise them to the recording process, and to get a fair measure of their initial activity level and symptoms, and the degree to which these fluctuate without treatment.