This reminds me of those (highly apocryphal) tales of "beetle watches" from the post-war markets of Hong Kong and Singapore that stopped shortly after purchase because the peripatetic insect inside that drove the hands had succumbed...
On a more serious note, it's generally best not to disturb LCD's too much unless you're accustomed to this sort of thing- even something apparently innocuous like removing the clear plastic cover to release an insect may disturb the finnicky connections between the PCB and the actual glass LCD element, resulting in missing/intermittent display characters on re-assembly- it really can be a case of "never quite the same again". These Pure radios aren't the quickest and easiest to dismantle/get at/re-assemble from the point of view of labour time/cost- I've had a Tempus-1 for some years now, and jolly good it's been too, but it strikes me that a bit more effort in the production engineering aspect would have brought the cost down.
I'm guessing that this real-life bug got in through the acoustic port "chimney" underneath, as all the connection sockets are sealed types- maybe a bit of net-curtain material, or whatever, taped over it would bar future inquisitive invertebrates without affecting sound quality. As the Prof. hints, the web is unlikely to get much bigger... I'm sure Damian Hurst would find it all deeply symbolic.