You don't have to go far to encounter some strange and unusual happenings. Did you know that former Labour Prime Minister Harold Wilson wanted the UK to become the 51st State of America? I will spare you the details but they are here if you are interested:
Something else you may not know is that, although, the first 625 line transmissions in the UK were in 1962 with a complete roll out by 1967 and the first colour transmission in the UK being the Wimbledon Tennis Championships of 1 July 1967 the BBC had actually hoped to be starting colour 525 line NTSC transmissions in early 1965.
This as I am sure you are aware would have meant that we would have had colour Troughtons and about 50% of the Hartnells also in 525 line colour right? Wrong!
Now, my knowledge of the technical ins and outs of this is non-existent but as this is just a bit of fun and not meant to be taken seriously I would suggest that had these events happened then there would have been no prints (or at least, fewer) sent around the globe. Remember some smaller countries were buying at less than the cost of a print because the print had already been paid from the previous sales. Would the emerging sub-Saharan countries have been able to afford the equipment to receive satellite transmissions?
It potentially leads us to a world where no or at least very few missing episodes would have any chance of being recovered ever and even now we would be watching NTSC transmissions. Thankfully, none of that ever happened.
Here is a bonus clipping for those interested: