Yeah, I've not tried it on other browsers/platforms - but on Laptop/Google Chrome/Android phone the whole process start to finish is around 9 clicks (or 6 if you already have TM Img open).
It may take a couple more clicks than other forums/methods, but I still wouldn't class it as anything but simple. I appreciate I've done it many times now, but I've just timed myself and the 9 clicks took under 30 seconds

Click 1 - Open browser window
Click 2 - Click on TM Img (in bookmarks?)
Click 3 - Sign in (on Google it saves usernames and passwords so this may take a bit of typing otherwise)
Click 4 - Click on 'Upload'
Click 5 - Click either 'browse computer' or 'add URL'
Click 5 - Click on Photo to upload, or right click and paste URL. If picture is not stored in 'pictures' this may take another click.
Click 6 - Click on Upload
Click 7 - Click on Embed codes (or 'About' first if on an Android phone)
Click 8 - Click COPY on Full or Medium image BBCode
Click 9 - Right click and paste into post.
For the record, I would not class myself to be an Tech specialist. I am a History Teacher and am overly fond of spanners and hammers.