The Wirecutter review link did not work. It appears the closing bracket around the link was inadvertently included in the link you posted. Deleting that bracket got it working. Here's a working version of the link:
The Best Tire Inflators for 2019: Reviews by Wirecutter
I agree with you about the desirability of electric leads which clamp on to the battery.
However, for my wife's vehicle, the convenience of plugging in to a cigarette lighter was the major consideration. Unfortunately, as it seem you discovered, some vehicles (particularly smaller ones) have the lighter plug on a 10 amp fuse. Many of these compressors draw 15 amps. My wife's is the one vehicle we have with a 10 Amp circuit. I almost bought the Wirecutter's recommended Viair 78P compressor for my wife's vehicle (by coincidence - I had not seen their review). However, it can draw up to 15 amps. The Viair 75P I ended up getting her draws less than 10 Amps, but still has a speedy fill time (they get this by setting the compressor up for higher volume, but limiting the max pressure to 50 PSI).
Tip on avoiding popping fuses when using a cigarette-lighter powered compressor:
I noticed that what often popped fuses for me in some vehicles when using a cigarette-lighter socket for power was starting or stopping the compressor under load. I found if I left the compressor disconnected, started it up, then connected it to the tire, and when done filling kept the compressor running, disconnected the hose from the tire, then shut off the compressor, I did not blow fuses. You can get a surge when starting or stopping an inductive load like an electric motor. If you reduce the load on it by not having it connected to a (even partially) pressurized tire, you reduce the surge, and may get by without blowing the fuse. This was the only way I could get our "Slime" brand compressor to work in our Toyota Minivan without popping fuses (interestingly, it was the "off" cycle which most often blew the fuse).