That sounds frustrating. I think if you address it by offering suggestions about how communication can be improved, you might be able to get your point across better.
I work freelance. I was on a call recently with a few of the other freelance writers/editors and the client company's owners. This same issue came up. It doesn't sound as pervasive, but there are e-mails that don't get answered quickly. My client has been very busy and they get so many e-mails that things fall through the cracks. Anyways, together we developed a new system that's been working. In the e-mail subject we include more detail about what we exactly need and then a time what we need it. Something like "name of client - what information I am asking for - please respond by 3 PM. We also use WhatsApp or Google hangouts and follow up by those channels if I haven't received a response.
It's just an example. Your work environment may be different and this exact system may not work, but maybe you can come up with some similar ideas that adapt to your work situation to suggest. I'd also frame it as that you are going to be able to work more efficiently with better communication. If other co-workers have similar issues, maybe you can talk to your manager together. Good luck!
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