Removing the "play on youtube" overlay on embedded videos

Is there a way to get ride of the "play on youtube" button that is overlayed on videos when they are embedded? I looked into using the chromeless youtube player but couldn't figure out a way to remove the overlay. Has anyone tried or heard of a way to do this?

How do I remove YouTube branding After embed video?

You can add ? modestbranding=1 to your url. That will remove the logo. This parameter lets you use a YouTube player that does not show a YouTube logo.

How do I hide the play button on YouTube?

Open the YouTube's Accessibility menu (YouTube > Settings > Accessibility), toggle on Accessibility player, and tap Hide player controls.

The three parameters I found useful are:

showinfo=0
controls=0
autohide=1

showinfo=0 makes sure the video does not display the title on the top of the video frame. controls=0 hides the bottom bar with the play button, volume, etc. autohide=1 hides the controls until you hover over them, which is probably the most useful.

All the official docs are here.