remote desktop - Can internet connection performance on client side of rdp connection affects server application performance?

Our company develops a Winforms based desktop application that we host on our servers. Our customers use our software via RDP. A question was recently asked if the client's internet connection could be causing a performance issue at the server. To clarify, the claim is that an operation that happens in our application that only involves our on premise SQL server takes longer when the RDP client's connection is slower. Not perceived slower, but actually slower. My initial response is absolutely not but two senior developers have indicated they've seen several situations where they couldn't rule out that something to this effect was happening. None of us think it makes any sense but I'm asking this question to rule the possibility out. The only scenario I can think of where it seems this could make any sense is if the server is waiting on some input from the client side and the internet connection is delaying that.

So just to restate: Is it possible for the internet connection performance on the client side of an RDP connect to have any real (not perceived) affect on the performance of an application running on a server?