I would mind. I am a F2P player, and I believe as are some of the members of my alliance, or at least they probably spend the minimal on Gems. I think I may be one of the less lucky member of my alliance because on the anniversary tokens, most of them have gotten upgrades in heroes (I saw one Elena pop up amongst his/her band of 2* defenders for the war). Luck is not something I could control, of course.
I am essentially stuck where I am with my current maxed out 4* heroes on the 3rd tier until I could get some ascension items for them, and they are hard enough to come by as is. Me not being able to get better heroes for my main line up would probably not enable me to help out as much on the Wars / Titans as much as I wanted to. We are juggling between 3* - 5* Titans at the moment, but haven’t killed a 5* yet, and I am not doing much to help.
Don’t take away the chance at the already rare Ascension Items, because unless my luck changes, that’s the only way I could improve my roster while keeping my F2P status.