A person searching for a nearby cleaner, plumber, pest controller or clinic can meet the business in several places. They might see a map result, a profile, a normal website result, a service page or a review. Those surfaces can appear in the same journey, but they are not interchangeable.
BrightLocal's guide to Local SEO explains that the local pack contains Google Business Profiles and a map, while localised organic results sit underneath. It also notes that a business can appear in local search without a website when it has claimed its profile. That does not make the website redundant. It means the two surfaces can earn visibility in different parts of the result.
Your profile is rented space with a defined format. Your website is the place where you can explain a service properly, set expectations, show permissioned proof and build a clear enquiry path. If the profile disappears from the plan, Maps visibility is neglected. If the website disappears, customers are left to make a higher-value decision from a short listing.