Welcome participation in your culture is not appropriation. Appropriation happens when a tradition is taken and decontextualized from its original culture, adopted by mainstream culture, and changed to mean something else without buy-in from the originating culture.
You know your culture has been appropriated when some rando who isn’t even part of your culture explains to you how you’re wrong about your tradition because it doesn’t look like their mainstream version. For example, explaining to an Indian person that yoga is a physical exercise program where you continuously shift between isometric stretches.
It’s a fruitful discussion here, and I agree the comic is reductive. Notwithstanding the incomplete representation of the circumstance, the point the comic is trying to make is that there is inequity/injustice in the distribution of costs and benefits produced even in the complete picture from beginning to end.
The debate eventually gets to difficult conflicts in ethical values around concepts of property/ownership, labor, individual/society, rights, and meaningful living.
What the comic aims to illustrate is a symptom of a system that maximizes the opportunities to live freely for a minority at the expense of a majority who see their opportunities to live freely minimized, suggesting that the symptom indicates the system is unjust.
I don’t think the comic is that successful in doing so, there are many ways to poke holes in it. However, the degree of successful communication by the comic is a different thing from the argument it points to.