Trump said Putin would pay him a special courtesy but not "anyone else".
A proposal to redefine them was posted and then deleted from the Kremlin's website.
Ukraine says Russia has lost almost 500,000 soldiers since invading Ukraine.
The Russian president said: "I am convinced that this view is shared by most people on the planet."
The chair of the Defence Select Committee did realise though, and deleted the photo from social media.
Amid Putin's usual boasts and threats, a few things did go wrong in Moscow today.