Of course they do!
At non-tech companies, tech is a cost center. The only strategy that will be valued is a strategy to cut costs.
At tech companies, tech is the product, so it's a profit center.
If you want a fulfilling career as an engineer, don't work in a cost center.
> In my experience, only opportunity for engineers to contribute to a meaningful strategy is in a small team with business person as CEO/Owner and they really want to listen to the engineer's opinion.
That might be true at very small companies. At large tech companies most engineers will never meet the CEO, but they still have input on strategy. Of course that means developing some credibility and trust within the organization before people will listen, but that's true in all industries.