". . . The biggest reason why people hate sealioning is because responding to it is a complete waste of time . . . [T]hese questions are not asked because the person genuinely wants to know. If they did, they would do their own digging based on your statements, and only ask for obscure or difficult-to-discover information. This is the 'debate principle'; when you go to a debate, you educate yourself on the topics at hand, and only request evidence when a claim is either quite outlandish or unflinchingly obscure . . ." (Why Sealioning is Bad)
Only you're not entering into a debate but rather you're actively asking a for proof of an unsubstantiated statement. It's a tricky situation and as sealioning actually happens and part of it is expressly designed to bury an individual under a sea of questions to drain their energy and prevent them from defending their statements. Yet as it continues to become a more main stream term it's being used more often by bad actors attempting to stifle debate around their unsubstantiated statements.
". . . When the target is continually asked questions - especially the same question under a different phrasing, which is very common when sealioning - it's rattling. They have to fight the natural instinct to respond in good faith to neutrally-phrased questions, as answering them will only bring more. It's a forced violation of the empathy that a compassionate person feels towards others, as it pushes them into noticing that their questioners are not particularly interested in the questions themselves . . . Compound this with being sealioned but multiple people, as is common on Twitter, and you've got a recipe for a very frustrating and fruitless timeline. If you respond, you are bombarded with even more questions by people who aren't asking to actually be convinced. If you do not respond, you are insulted as somebody who doesn't wish to participate in reasoned discourse, despite the clear and simple fact that such a discourse is not reasonable; it merely has the appearance of rationality . . ." (Why Sealioning is Bad)