It doesn't matter which the verb is, the second half of the first sentence is a much weaker, and more defensible, statement than GP's "vague insinuation" of a concrete incident.
No, they are not insinuating that the use of the Red Cross in video games can be directly tied to specific deaths. Yes, they are insinuating, fairly clearly, that making the logo generic could lead to less recognition of the unique neutral status of the Red Cross, and this gradual loss of recognition could potentially lead to more deaths.