Hah, ***no***!  They're both united by their love for Peter Parker, actually. Unrequited homosexual in Eddie Brock's case, spurned symbiosexual in the sapient alien goo's case. It's absolutely obvious to anyone who understands their coding!  (On a slightly more serious note, it's pretty overt--in the comics as I was familiar with them around the mid and late 90's--that the symbiote would have dropped Brock like a dead fish at the slightest **hint** that Peter would have taken it back. It really *was* deeply interested in being his, and his alone, and Brock was an ally of convenience.)