What's actually happening
Broker support has access to server-side connection logs. They can see: which account attempted to connect, from which IP address, at what time, and whether the connection completed successfully or failed. When they see a pattern of incomplete connections or high-latency sessions from your IP, they know the problem is happening between your machine and their server - not inside their platform.
From their perspective, telling you to "check your internet" is a specific technical instruction: verify that the network path from your machine to their server is not the bottleneck. They cannot fix your ISP's routing. You can.
The frustrating part is that this response often comes without explaining how to actually check it. This page gives you that diagnostic.