I moved on after Lendl passed Mac(this took a very long time to move on) and I moved on quickly after Djoker passed Fed. I think that tennis is in a great spot now. Sinner, Alcaraz, Mensik, Draper, Fritz and a few others are some that I can cheer for.
To answer the OP’s question, the slam race was fun for a lot of the time. It didn’t take away the joy. For a while, it added joy. For a small time frame it sucked. Overall, it’s a slight gain.
I will say that tennis is more enjoyment when I don’t have a favorite player. In the 1980s, it was Mac. In the 1980s, I liked Agassi and Sampras equally. In the 2000s, I started out a Roddick fan, but then added Federer from 2005-2021. Now, I like Alcaraz and Sinner equally, although I will pull for compatriot Fritz. I will also likely like Mensik and Draper a lot more as well. I would like to see some records beaten as well. Just because my favorite players in the past have some cool records doesn’t mean that I need them to keep them. I like seeing broken records. I’d be fine seeing Alcaraz win 9 Wimbledons, or winning 6 Wimbeldons, . or seeing Sinner win 6 consecutive hard court slam titles, or break Fed’s 56 match winning streak on hard courts. Heck, I’m even fine if somebody breaks Mac’s winning pct record for a season(82-3 in 1984).