What does everyone here think of people presenting new attempts at defining division by 0? And what would be required for these people present the idea in a way that could be taken seriously?

More specifically, what would it take for you to be convinced that…

1: …A new method of division by zero is something that can be done with the right tools and approach while preserving the underlying classical algebraic structure?

2: …It may potentially be useful to develop, or that at the very least it’s better to have access to than to not have access to?

3: …It could be an interesting and worthwhile topic to explore just for understanding it in its own right?

I am just trying to understand because I always enjoy hearing and entertaining new well thought out takes just for the sake of it but I have noticed despite the abundance of posts others have made on the topic there’s little variety in both the presentation and response and the few actually novel effort full approaches often get dismissed right from the start before getting the chance to be heard out. Is this because they come on too strong with their claims? Do they not present it in a rigorous enough manner and if so what issues should they target a solution for and what method of presentation would be required for them to meet the requirements of rigor? Does it need to be applicable to solve an already existing issue or is it merely enough to explore the idea as a new mathematical possibility just for the fun of it?

I am just really trying to understand how people in this community and others like it genuinely feel about this and if there is some clear standard that hasn’t been met which can be articulated so others can produce better quality theories on this or other topics.