If you're offering funeral services, for example, even the world's cutest cartoon skeleton might not be an appropriate logo element. Your HN bia says 'builds software for chemical diagnosis' - sounds like your target demo is doctors and hospitals but I'm just guessing. I presume you wish to be different from other firms competing in the same market, but different isn't always better.
In short... can you compare the success of top products who feature a character in their logo and top products which do not. e.g which one maximizes the probability of a 'unicorn'.
I could...what are you offering in return? Right now it sounds like you want other people to do stuff for you for free so you can get what you want, which isn't a very compelling come-on. That might be why everyone is taking your designer's side instead of yours, hm?