I always name my protag Pala. I used to be very "weeby" though when I'd name my character back in the day and just used whatever Japanese name I had on my brain at the time, and then later switched to naming my characters after my own. Around S/M or US/UM, though, I stopped doing that and just starting calling my trainer Pala at all times. I also do it in the older games I play now, too.
I named myself Pala in the last Pokemon games I played, too. I prefer to use my online username nickname over Kory, tbh, I guess Pala has sort of become my "in game name" nowadays. The only game I couldn't name myself Pala in in recent memory was Pokemon Unite, where I had to go with Palamon. I'm still angry about it
Also, you didn't ask, but I nowadays always name my rival Kir. Don't ask, please.