Parking at the Burbank Airport South station

I’m taking a day trip up to Santa Barbara with Amtrak and booked tickets departing and returning to the Burbank Airport station. I’m closer to the downtown station, but the train is skipping that stop in both directions. I have never parked out there but from driving by it seems like a pretty small and narrow lot, and I wouldn’t be surprised if it’s where Ubers/Lyfts/people picking other people up from the airport hang out since it’s free. Has anyone tried parking there on a Saturday morning? Does it ever fill up? I’m thinking about changing the ticket to Glendale as I don’t want to show up to the airport station, see there is no parking, and be totally out of luck and miss the train, and it appears the Glendale station has a huge lot.