Probably not worth it if you take the 2 brain damage. At that point, you're spending 3 draws and an install and $1 on this card to gain 1 click/turn for the rest of the game and a penalty on hand size which makes things much harder against Jinteki, HB, and many Weylands. If you plan on using Hippocampic Mechanocytes to restore your hand-size, it's five draws and two installs and $1 to gain 1 click/turn. Ouch.
Basilar looks alright if you can prevent the brain damage. Having a 5th click increases the expected # of agendas stolen on a Deep Dive by around 50%. On average the 5th click adds something like .75 - 1 additional agenda point per Deep Dive depending on the agenda suite. If your gameplan hinges on 2-3 super Deep Dive turns, spending $9 on Caldera could be worth it to make the Deep Dives more effective. If you plan on turns running every central server, a fifth click could also be useful for Exploit or Encore.
Outside of Deep Dive Shaper, this might see niche usage in Apex and Nova, using Heartbeat or Assimilator to avoid the damage. Apex is extremely short on influence, but Assimilator might be able to produce enough value from an extra click to consider it.
See this is why you need to prevent the core damage
— superheronation
Great analysis. But even outside of Deep Dive shapers, this can do a lot, since it is an additional click, which allow you to setup faster for something like Counter Surveillance or other shenanigagns. I think Esâ Afontov: Eco-Insurrectionist could use this to great effect also, even at the cost of one more Core damage than usual.
— Diogene