Yes, it is indeed a random birthday Google Doodle.
Wren in fiction tends to lead to fantasy and horror about sacred geometry and Freemasonry and the significance of architecture and positioning, as in Hawksmoor by Peter Ackroyd.
But I’m sure something SFish could be done with all those significantly placed towers... and if something is, St Paul’s would still have to be the fulcrum.
(It also makes a great guest appearance in one of the Eighth Doctor DWM comics. You’ll know it if you see it and I won’t spoil it if you don’t.)