The solutions sound good, and the game is obviously much more about skill.

And I also agree that a lot of players are getting top skills right now.

I just want to say: lol at this game being "luck based".

I played a lot of a similar freeware game called The Battle of Wesnoth, that while being an amazing game was so luck based that I would say it was 60% skill and 40% luck at best.

Did this fact made the game any less amazing?, no, but people hate luck (when it hurts them) and we all have cognitive bias that makes us remember only the times when something unlucky happens to us.

Now, I can see something like a final in a money tournament being affected by a cointoss being a real problem, but the fact is that luck is a very small part of the game, and the biggest luck factor comes not from cointosses but from the very nature of sealed games (and not many seem to complain about it).

For me the game has enough luck not to be 100% predictable, but not enough to be frustrating.