How to use TerminateProcess() to close a console window

Question

My C++ application starts a .cmd file as a child process like this:

SHELLEXECUTEINFOA execInfo = {0};
execInfo.cbSize = sizeof(execInfo);
execInfo.fMask = SEE_MASK_NOCLOSEPROCESS | SEE_MASK_NOASYNC;
execInfo.lpVerb = "open";
execInfo.lpFile = "test.cmd";
execInfo.lpDirectory = "C:\\some\\directory";
execInfo.nShow = SW_SHOWNORMAL;
BOOL result = ShellExecuteExA(&execInfo);

The script test.cmd runs a console-mode .NET application that runs a long time, and it looks similar to this:

@echo off
echo Starting a long task...
dotnet.exe runforhours.dll

When ShellExecuteExA() returns in my C++ application, the process handle in execInfo.hProcess is saved for later use. The idea was to use that process handle to shut down the child process (script + exe).

But when I try to shut it down, nothing seems to happen. The console window and the long-running .NET application both happily continue running. This is the call to TerminateProcess():

TerminateProcess(child_process_handle, 1);
CloseHandle(child_process_handle);

Should TerminateProcess() be expected to work in this case? Is it perhaps because this is a console window that it isn't working?