The 'head down at the computer' issue has been largely fixed by equipping patrol cars with number plate readers attached to the computer. The officer only has to confirm the state and that the reader is seeing it right and hit the go button.
Cars being single manned at night is an issue for individual jurisdictions and their funding. It sounds like a bad plan to me, and I've never been in LE.
You may be interested to know that about half of all law enforcement agencies in the United States do not have sufficient staffing to have one officer physically on duty 24 hours per day. Many rely upon on-call personnel, technically off-duty but required to respond to emergency situations.
Even more agencies do not have their own telephone and dispatching facilities, relying on cooperative agreements with other cities, counties, or regional authorities. 9-1-1 authorities exist in many areas, but not all places.
7 days per week equals 168 hours. A 40-hour work week requires 4.2 full-time employees, plus sick leave, vacations, mandatory in-service training requirements, etc. When your call comes in after another call (or two, or three), or your complaint is of a lower priority than another active complaint, or the on-duty officer is required to appear in court, or is transporting a combative mental health case to the nearest facility (you get the idea, don't you?), you may have a longer wait for response than you are expecting, or comfortable with.
The national labor laws specifically exempt emergency services personnel (firefighters, cops, etc) from wage and hour regulations, overtime pay requirements, etc. State laws may vary. Not all departments are union shops with representation and lawyers standing by.
Up to the minute data terminals in patrol cars are wonderful, if the agency can afford them, or if they can get the grant money to install them, and then they require regular maintenance and service contracts that not every community is prepared to pay for. Dedicated license plate readers, linked to the computer system, are great to have, but most units do not have them.
Major cities with the best budgets usually measure response times to high-priority calls in the range of 20 to 45 minutes. Outlying communities may measure those response times in hours or days.
I spent a lot of my career working without back-up within an hour's response time, and frequently without reliable communications for hours at a time.