I've been carrying the fob in a faraday pouch 99% of the time I drive the car just to test this very scenario. Sometimes, the phone works flawlessly, but most of the time I stand there looking like I'm stealing the car (btw, awkward when you have others standing around their doors waiting). 90% of those times, taking out the phone and launching the app wakes up the car (though half of those times it takes the annoying 30 sec+ wake up time). On rare occasions, I've had to pull the fob out of the Faraday pouch and click it (which has worked 100% of the time).
(and I also carry the card in my wallet .. just in case)
Anyone that's read my previous posts on the subject knows that I'm not a fan of the FOB as I've accidentally pressed it too many times (there is a definite delay and if I'm using it it's because I've been standing at the car for a minute or more, then I'm a bit impatient and apparently I click it more than twice) .. this leads to setting off the alarm or opening the frunk (ugh!)
I do wish that the mobile key worked as flawlessly as the Tesla one did. For it's many (MANY) flaws that our Model Y had, the phone worked 100% of the time w/o hesitation .. we never used the card (except to set up the phones) and never bought the FOB. If Lucid engineers are listening .. a little reverse engineering might be warranted.
Also, if Lucid is listening .. I strongly encourage the adding of NFC functionality to the "mobile key". In other words as (I believe
@Volund) has mentioned in another post, if no Wifi is available and bluetooth is not working for some reason (or you're just standing at your car looking foolishly), a person should be able to use the phone like a Valet Card. 99%+ of newer smartphones are equipped with "Near Field Communication" chips/functionality that can function like the chip in the Valet Card. I've tested my phone (w/ bluetooth off) and when I place my phone on the driver pillar it activates my Apple Pay (which means it has detected a NFC receiver). Seems like a simple add-on.