I don't think calling or ordering notes have any impact on the application. Why would it have any impact ?
I don't know. May be no impact. But I heard CIC officer can see who order GSM and call the call center.
A few, isolated queries is NOT at all likely to influence any decision-maker in the processing of a citizenship application.
For numerous queries, however, the risk is that the activity might be interpreted to be suspicious, like when a police officer sees someone frequently looking over one shoulder and then another, anxiously looking all around. Drug dealer? Casing the bank nearby? Running from something?
That risk is probably small.
BUT yes, every time the applicant's file is accessed there is an entry made, a notation of the access. So, when a Citizenship Officer is reviewing the information in the file, the fact of numerous queries from the applicant is readily apparent. Whether or not that makes the Citizenship Officer curious about why it is that the applicant has been so anxious about the case, worried enough about SOMETHING to make numerous UNNECESSARY queries, probably depends on how the case looks otherwise . . . and similarly, whether or not such curiosity invites questions which in turn lead to suspicions.
Most times, a shrug, no significant suspicion. Sometimes, and depending perhaps on how many or how frequent, a lot of queries may be enough to tip the curiosity/suspicion scales . . . enough to elevate scrutiny, maybe enough to lead to overt suspicion and skepticism.
Small risk. But nonetheless a risk taken for very little if any benefit.