Huh not sure where I read this long time ago, but yeah it appears to only have a vague connection to SRI at best.

Here’s the president of SRI saying it was a pure coincidence: https://hbr.org/2015/09/the-president-of-sri-ventures-on-bri...

Here’s the cofounder saying that at least some of the appeal of the name was that some people liked the resemblance to SRI: https://www.forbes.com/sites/quora/2012/12/21/how-did-siri-g...