I am trying to understand better how can I update a windows forms progress bar from an async operation but I am getting some unexpected behavior from that.
Basically
Your issue is happening because ExecuteMethodAsync(...) is not actually asynchronous.
Add the following before the while loop to make it asynchronous
await Task.Delay(1);
or enclose some synchronous portion of code (e.g. the while loop) into a:
await Task.Run(() => { ... });
or (the best one), add the following at the beginning of the function:
await Task.Yield(); // Make us async right away