As a postive data point, I am running Andra 40s on my tandem and have been very pleased with them. I have 26x2.0 Schwalbe Duremes mounted on them.
My Nomad Mk2 and my Enduro-Allroad bike use the same brand/model/size tires, mounted on Andra 30s. I have also been very pleased with them.
I just dashed out to my garage and did a comparison measure across the tire sidewalls, inflated to the same pressure. There is exactly 5mm difference at the widest part of the tire sidewalls between the Andra 30 and 40 (the 40 has the larger/wider measurement)...within 1mm of the published difference between internal rim widths.
Put another way, that 5mm is a difference of 2.5mm or 3/32in per side. On the one hand, not much on a tire measuring "about" 50mm, on the other, a 5mm/10% difference in overall width.
Any height difference I found much more difficult to measure in my quick effort as it was difficult to keep the bikes exactly vertical while I measured rim-to-ground with an offset caliper. As close as I could tell, there is somewhere between 3-4mm difference in height, the 40 being lower in profile and more rounded, as you might expect from a typical 1:1 aspect ratio (same bead-to-bead width but stretched wider means not as tall from the rim bead seat to contact point with a static load of just the unladen bicycle). I'd urge caution with the numbers here, as this was a quick measure on my part rather than to my usual gnat's eyelash standards for accuracy. If you're fussy and have changed rims, you might want to do an actual rollout under load to get the most accurate figures to plug into your cycle computer.
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If I have got the right comparison on the SJS Cycles site, their published weights for the 559 x 32 hole Andra 30 is 735g the Andra 40 is 750g, only a 15g difference. If weight is a critical concern you'd best check the figures yourself, as I had to take a call midway in my comparo and was a little distracted.

Best, Dan.