Coming from someone who holds your company in high regard and loved your companies work in the CGC I really have to disagree. You can be neither a script kiddie or a non-technical manager and still have webdev shops view you with suspicion for much the same reason node shops might see someone who has a lot of Java on their resume as someone who may not be a good fit because of 'technical baggage.' We can say that someone just needs to 'git gud' but I do think it's important to acknowledge that many times their are biases that get placed which are not always 100% rational.

Edit: Also I do believe your claim about all 30 of your engineers being able to find work elsewhere. You have to admit the average employee you have probably isn't reflective of anywhere near the average of the industry or even the enthusiast community.