Most of your visitors are on a phone, one-handed, often outdoors on a patchy connection. That is the main experience, not the fallback.
One site whose layout adapts to the screen it lands on. Columns stack, navigation collapses, images resize, text stays readable — without a second mobile version to maintain.
The word gets claimed loosely, which is why so many "responsive" sites are still miserable to use on a phone.
Buttons and links large enough to hit with a thumb, spaced far enough apart that you don't hit the wrong one. Desktop-sized links stacked closely produce constant misfires.
Body text under roughly 16 pixels forces pinch-zooming. Once someone zooms, horizontal scrolling starts and the page feels broken.
A number as plain text is a number nobody calls from a phone. As a proper link it is one tap. For a local service business this single detail is worth more than most of the design.
Correct input types so the number pad appears for a phone field. Fields wide enough to read what you typed. Every extra field costs completions, and more so on mobile.
Usually one oversized image or a table that won't shrink. It makes the entire page feel broken even when everything else is fine.
Standing in front of the problem they need solved. Outdoors, in sunlight, on a mediocre connection, one hand on the phone. They want to know you handle this, you cover their area, and how to reach you — in about fifteen seconds.
Design for that and the desktop version takes care of itself. Design for desktop and shrink it, and you have optimized for the minority.
A layout can adapt perfectly and still fail if it sends desktop-sized images to a phone on cellular data. Serving correctly sized images is a responsive requirement, not a separate task — see speed optimization.
The underlying build decides how fast it can ever be, which is covered in lightning-fast builds.
Browser tools help but don't reproduce a real connection, real touch accuracy, or sunlight on a screen.
The real test is your own phone, outdoors, on cellular, trying to find your number and tap it. If that's awkward for you it's awkward for everyone. The interface decisions behind making it not awkward are user experience design, and how it all looks doing it is premium UI.
Describe what your business needs and you will get an honest read on what would actually help.