Sure it is, she didn't even know really what Star Trek was. That "USO series" she was reportedly quoted as saying. Again, she trusted Herb Solow, that was her sound choice. She said "yes" and that's pretty much it. Solow's name needs to be mentioned a LOT more than Lucy's,
Imagine you're at work slaving over getting projects approved. You created elaborate presentations, worked weeks on it, and presented them to the board for approval. The board isn't thrilled to spend the money on both, but the president believes in you and says go for it. You're still the genius who made it worth the risk, not the president of the company. It's not like she mortgaged her house to bankroll the series. She believed in Solow not necessarily Star Trek.
Charlie Bluhdorn gave Harve Bennett the authority to do what he wanted to for Star Trek II, which in the end revived the franchise. Yet you never hear his name. Why? Because he is the guy who said yes. He didn't do the legwork.