One site has to hold a four word search and a three month decision
The emergency call and the planned replacement are different buyers, and a page built for either one tends to fail the other.
The emergency search is short, unpunctuated and typed with one thumb. No cooling. Furnace blowing cold. It wants a phone number that connects to a person, a straight answer on whether you can come today, and nothing else. Every extra section is something between that person and the call.
The replacement search is the opposite. It runs for weeks, it involves a spouse, it compares two or three quotes, and it asks questions the emergency caller never has: what a heat pump costs to run against what they have now, whether a bigger unit is better, how long the work takes, what happens to the old equipment.
Those are two different pages, and quite often two different sections of a site. Trying to serve both from one service page produces a page that answers the slow buyer's questions above the fold and buries the phone number, or one that shouts about emergency service at somebody who is nine weeks from buying.
The useful test is what the page is asking for. If the answer is a call in the next hour, cut everything that is not the call. If the answer is a conversation next month, the page has to earn it by being genuinely more useful than the manufacturer's brochure.
Splitting them also fixes a ranking problem. Repair and replacement are different queries with different intent, and Google generally treats them that way. A single page trying to be both usually ranks well for neither.