No. A processing expectation for the published residence route is not a naturalization timetable or guarantee. The actual immigration result must first be established.
Do not merge separate legal stages
Follow official instructions for residence and obtain an individual assessment of any later citizenship eligibility. This page gives no automatic waiting-period calculation, and payment does not start a guaranteed countdown to a passport.
The processing fee is paid per person before vetting and is not refundable, so it is at risk from the first day. Once permanent residence is actually granted, the date that event occurs becomes the anchor for any later citizenship timeline, not the date the gift was made or the date an estimate suggested the case would close. Record the precise date printed on the residence document itself, since a future citizenship application will rely on that exact date rather than on a recollection of how long the process felt. Ask an individual assessment to work from that documented date once it exists, rather than from a projected date drawn from someone else's processing estimate. Continuing to track a processing estimate after residence has already been granted serves no purpose, because the estimate answered a question that has, by then, already been resolved by the actual outcome. Keep that residence document together with anything that later assessment will need, so the citizenship question can be evaluated on the actual record rather than reconstructed from memory.