I have the same compressor... I recommend it! I can verify your inflation time - I got about 1 minute 10 seconds per tire for about 15 PSI, which is about how long it takes to deflate the tire the same amount!
A caution about using the 7-pin trailer connection: The inline fuse for your Viair 400P EF A is 40 Amps, properly sized since the compressor is rated at 30 Amps. 30A x 125% = 37.5A and next closest fuse size is 40A. The trailer tow fuse on our Land Cruiser is 30A, so in an overcurrent condition the Land Cruisers 30A fuse will blow first!
I measured the current draw, both inrush and steady fill draw. The inrush is about 64 Amps but not a problem because it is for well under a second. You can see from the attached data sheet that a 30A fuse can handle around 200% for up to 0.15 seconds, or as much as 100A for about 0.12 seconds. The real issue is the derating curves. If you are out in the desert the fuse will be higher than 122 degrees F (50 C), and it's recommended the load is under 24 Amps. I logged the the current draw for a fill and the load (inrush aside) is between 24 A and 30 A.
I expect that using the 7-pin trailer connection for the compressor will usually work just fine - just know that you are right on the cusp of the limits of the Land Cruiser 30A fuse operating limits. If the environment conditions get too warm, or the pump stalls for some reason, you may blow the Land Cruiser 30 A fuse. I'm not saying don't do it, but maybe keep an extra fuse on hand!
Two potential recommendations:
1. Hard wire an around 18" long SAE connector cable to the battery and route it up to the compartment where the jack is accessed... it is a lot easier to pop off the jack cover and connect to the SAE connector than having to remove the battery access cover. I'm planning to do this because I don't want to drill any holes.
Check out this post.
2. If you still want to use the 7-pin dongle, I would swap the Viair 40A inline fuse for a 30A fuse - at least you won't be guaranteed to blow the LC fuse first - now it's a coin toss! Either way, keep an extra 30A fuse on hand.
Here's a graph of the current when inflating the tire from 20 PSI to 35 PSI. The little current bumps are where I released the trigger to periodically check the pressure. At around 35 PSI the compressor draws 25 Amps. The higher the pressure in the hose, the more current draw, up until a peak of about 30A right before the compressor reaches its automatic shut off point:
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