No. Actual review, visa availability and decisions remain relevant. A private timetable is not a guarantee.
Plan from official progress
A proposed schedule should not be announced as an approved arrival date.
A promoter promising guaranteed approval, a fixed timeline, or immunity from background screening is describing something inconsistent with the program's official conditions, which include government vetting. The official description of processing in weeks is a description, not a guarantee, so build planning around events you can observe: the vetting outcome, the instruction to make the gift, the category determination, and the visa interview. Build a dated review file around the dated official terms, payment instruction, vetting sequence, immigration filing stage, family documents, and travel commitments. The official page says processing should take weeks when the applicant responds promptly, but a visa interview is required, the applicant must be admissible and a visa must be available; the page notes that availability can cause longer waits for some countries. Payment is a step in the published process; permission to enter, live or work comes from the immigrant category a successful applicant proceeds through, subject to its eligibility rules, admissibility and visa availability. The Gold Card process seeks permanent residence through EB-1 or EB-2, while TN requires temporary intent, so an immigrant filing may affect the TN assessment even if the official Gold Card terms permit parallel processing.