My biggest advice on stabilizers is to select systems that the builders have had great success with.
We see some here who have had success on smaller trawlers and Fletcher's experience with Helmsman is very positive. It appears Helmsman have figured out how to appropriately size them for their boats.
Meanwhile, if Nordhavn says "no", then I wouldn't attempt with them. It took them years to get fin stabilizers working without problems on their boats. I don't know their issues with gyro, whether it's the weight of the boat, installation, or undersizing the gyro. However, I know enough I wouldn't be the one to try to figure it out.
I'm a huge fan of vector fins from Sleipner but only used them on medium sized planing hulls, although I know they've been used on non-planing hulls. I know Sunseeker and Princess have great results with them and a Sunseeker 65' with them is far better than the same boat with gyro, largely because the gyro doesn't help much at speed. And, yes, I've been on one with both gyros and another identical with Sidepower vector.
Even if your boat isn't a new build, talk to the builder before doing a retro-fit. Also, the biggest mistake I've seen with gyros is undersizing. Then the user says they're horrible, but all that's really wrong is the builder or the buyer tried to save money and bought too small a unit. Always better to go the next size up.
Even reputable builders have been known to err in figuring this out. I'll give you Hatteras as an example. They've put gyros in their MY's. Mistake as the owners are very disappointed since they aren't effective at speed, so need either zero speed or both fins and gyros. Fins and gyros are very popular in larger yachts. However, Hatteras is putting them in a lot of SF. You say, but SF's run fast? That's what I said before asking further. Turns out that when fisherpersons really want them is when anchored and when running at trolling speed. Trolling is when you see floods of seasickness. SF owners don't care much about lack of stabilization at high speed as the boats perform at high speed without. So, why not zero speed or vector for SF's? SF'ers swear fins are not as effective, but worse, that fins interfere with fishing. It's taken a while to reach this preference.
Follow tried and proven and don't try to reinvent the wheel. Our most recent boat purchase came with Humphree Interceptors and Humphree stabilizers. I had no experience with either on any other boat other than those I was on from this builder. However, the builder had extensive experience with them.
One cannot simply answer yes or no as to whether Gyros are good or yes or no even as to using them on trawlers. Threads like this are excellent because they point to specific gyros on specific boats and they also mention builders not recommending them. Also, keep in mind that a builder's recommendation today may change in the future as they experiment and gain experience.
I'm going to suggest one other thing. This is unscrupulous if you lie or mislead in doing it. However, we've done it openly and honestly. Let's say there's a boat out there you know comes a couple of different ways but the builder doesn't have any you can try and none are in charter. (If you can rent or charter a great option). However, they are for sale used. How much are you willing to pay for a sea trial of both versions? it should be costly but it may really pay off in the long run. If you do this, make sure the owner approved and the majority of what you pay goes to the owner (and sizable to his captain).