Both the Marriage Visa and the Permanent Partner Visa are Migrant (M) visas. Time on either one counts toward Colombia's Resident (R) visa requirement — but the qualifying period differs.
To the Resident (R) visa — Marriage Visa: After 3 continuous years on the Marriage Visa, you're eligible to apply for the Resident (R) visa. The R visa is valid for five years and renewable indefinitely.
To the Resident (R) visa — Permanent Partner Visa: After 5 continuous years on the Permanent Partner Visa (which itself required a 365-day wait after registration before you could apply), you're eligible for the Resident (R) visa on the same terms.
To Colombian citizenship: Spouses and permanent partners of Colombian nationals qualify for the reduced citizenship pathway — 2 years on the Resident (R) visa instead of the standard 5. So the full timeline for the Marriage Visa is 3 years M + 2 years R = ~5 years to citizenship; for the Permanent Partner Visa it's 5 years M + 2 years R = ~7 years. The Marriage Visa is the fastest route to Colombian citizenship available to most foreigners.