We've played a few games together and are very similar in ability. The only difference I see between you and near-2000 rated opponents I've played is that they seem to recognize key squares, positions and what I'm trying to do a little quicker than you or I do. It's not so much that I have to worry about them devastating me with tactics, it's that they make it harder for me to find a good attacking plan. I know that I have to be aggressive to win against them, but I end up getting bogged down and the local material advantage I base the plan on often turns out to be weaker than I thought it would be.
I think we can improve, but we need to see positions better. There's a great page of over 50 Positional Motifs here, https://chesstempo.com/positional-motifs.html, that we should consider and recognize in games and I know that even in daily games I don't consider as many of them as I should. Since I have the capacity to do so at age 66, I don't see why I shouldn't improve, though I don't expect a sudden surge in ability!
Improving in tactics and pattern recognition is also possible. At another site, the tactics trainer's ratings algorithms are not as unstable as at chess.com and the following chart of my tactics rating there since I returned to chess at the beginning of 2017 shows a general trend up. There's every reason to expect a gradual uptrend to continue.

I think people in their 60's or older can improve, but it takes more work than when younger and works best at daily or long time-limit games.
I played chess casual as a kid 8-14, then lost interest in the game, pursued multiple careers, raised a son, and forgot about chess until age 50 when on a whim started to play again. I have noticed that I have continued to improve over last 13 years but at a slow pace......wonder if the improvement will stop now or keep going? I guess the odds are that I have hit my plateau.