If you think your investor is one of these, then either you or they are not suited to the relationship. It might even be both of you. You need to work out who it is, and be honest about it, quickly. The good news for you is that there are other investors if you have the time and network to go find them. The good news for them is that there are other investee companies that will better fit their investment needs.
Ecosystems need vultures, but you do not have to volunteer to be dinner for one.