No. It begins a process that still involves eligibility review, vetting and immigration adjudication. A receipt does not resolve those matters.
Use accurate status language
Ask counsel which conditions remain outstanding and what each notice confirms. The programme uses existing immigrant classifications subject to availability. Describe your case as submitted or pending when that is what the records establish, rather than representing a payment receipt as a decision on permanent residence.
Submitting an application establishes that an application was submitted, and nothing follows from it about eligibility. Use accurate language throughout, in your own notes as much as in conversation, because loose description is how families come to believe a matter is further advanced than it is. An application has been filed; a fee has been paid; a document has been acknowledged; a request has been received.
None of these is an assessment, a decision or a grant. Ask at each point what the document actually determines, and if nobody can say, treat it as a receipt. Establish separately, and early, whether the applicant is admissible and which classification the arrangement contemplates, since those questions determine whether the process has any prospect regardless of how many stages it appears to pass through.
Where an adviser resists giving that assessment before payment arrangements are discussed, treat the sequence itself as informative and ask why the order cannot be reversed.