No, your TRV applications have no bearing on your PR application. They are processed on their own merits. Section 22(1) of IRPA states:
As regards the PR, IRCC is continuing to send COPRs to inland applicants on regular basis. Given that you have a PR application in process, and that your have also applied for an extension, during final review, for either application, a Field Operations Support System (FOSS) check is done to determine your current immigration status in Canada. Given that both application will be seen there, IRCC may just process your PR and issue you a COPR, instead of duplicating the work of first processing the TRV and then PR. Though, this is an ideal scenario, but keep your fingers crossed.