Yeah I think
@Rooney in Paris description of him is actually pretty fair in general this season, though I think he's been improving as the season as gone on.
I think a lot of his stats on average are being dragged down by his very very underwhelming start to the season. I wonder what his averages are in those categories you mentioned but filtered for just like the last 10 games or so. I'd hope it would reflect the improvement I've noticed.
The same stat categories calculated just for Caicedo's last 10 EPL starts:
--> Tackles 2,4 / 90min
--> Interceptions 1,2 / 90min
--> Shots on goal 0,3 / 90min
--> Key passes 0,7 / 90min
Somewhat better than his full season averages in a Chelsea shirt but still not quite the numbers he had over at Brighton.
But it's worth noting the last five league matches he's had 5+ tackles per game on three of the five occasions, which is something he never reached in his first 10 league starts so at least in that category the improvement has definitely been clear. The sample size is still small enough for even that 10 game average to include some of his early struggles. The two recent League Cup matches he's also clocked 4 tackles against Newcastle and 5 last night.
His passing rates have also improved siginificantly from earlier in the season and lately he's been clocking ~94% pass success rates in most games while at the beginning he barely reached 90%. And that is despite his total pass amounts being well above of his early season numbers.
So yeah, statistically speaking he's been a lot better than in the first 5-10 games. He's clocking himself a lot more touches on the ball and off possession he seems to have started finding himself in better positions to make tackles more regularly too. All this just goes to confirm what's already there to see with the naked eye that he's been slowly but surely improving his performances.
Whether he can keep up the same level of performance let alone further continue improving is the hurdle he's now facing. Lately he's been decent but not great, and if he wants to start justifying the amount of money spent on him (not sure if that's ever going to be possible for a DM but a man can try) he'll just need to continue building on this. Now would be the perfect time for him to really kick on and start showing some consistency with no international breaks to disrupt the season for the next couple of months and lots of important games to be played.