According to Wikipedia:

Carnivorous plants are plants that derive some or most of their nutrients(but not energy) from trapping and consuming animals or protozoans, typically insects and other arthropods. Carnivorous plants have adapted to grow in places where the soil is thin or poor in nutrients, especially nitrogen, such as acidic bogs.

As a matter of survival, the "meat eating" plants have developed the capability to derive sustenance from sources other than the nutrient poor soil in which the grow.

What influence should the behavior carnivorous plants have on your decision to enjoy a vegan life style?

If I may, I would advise that you not look to outside influences for motivation or inspiration regarding the choice to enjoy a vegan diet. Surely, depending on your particular perspective and the confirmation bias it produces, you will find circumstances that support the case for enjoying veganism and those deter you from it.

Even what seem to be objective, science-based conclusions can be argued. As an example, the book Discover the Foods Scientifically Proven to Prevent and Reverse Disease: Michael Greger M.D. provides several well-researched medical studies that indicate that enjoying a 100% plant-based vegan diet results in positive health outcomes.

On the other side Unleash the Power of the World's Healthiest Diet for Superior Weight Loss, Health, and Longevity: Dr. Barry Sears indicates that a strict vegan diet is not necessary for optimal human health.

If I may provide further advice, if you are curious about enjoying a vegan diet give it a try. Plan a 30 or 60 day period of eating a 100% plant-based diet and evaluate the outcome. Base your decision about permanently adopting a vegan based on your results. Therein the influence of potentially ambiguous outside motivations will be diminished. If, like the carnivorous plants cited in the opening paragraph, you are in position in which you must consume meat to survive please do not consider doing else wise.

Peace and Health to You Always.