I think the perceived "difficulty" of getting the Golden Classical highlights a different problem - all other Golden Ages are far too easy to get and even to chain a few of them in a row...
Classical Dark Age is often harder than Golden Age...
This and this.
Classical Ages can be hard to get if the stars aren't aligned, but I quite like that really. One part of that is deciding whether to grab Amani or not for the Suzerain boost, which impacts openings. But once you start getting GAs, it's usually pretty easy to keep them going which can feel a bit lame.
Getting Dark Ages I find quite hard, and it usually requires some anti-fun play - i.e. avoiding doing stuff that's fun.
Stepping back a bit, I feel like basically all the mechanics that came in Rise & Fall still need a bit of work (e.g. Era / Ages, Governors, Gov Plaza). The exception is maybe loyalty, which after a few tweaks[0] is one of the best mechanics to come out of Civ 6, and Emergencies which essentially got their tweak in GS.
I tend not to bother, just lazy because I just want to play like
@Leyrann , as in naturally, whatever that may mean. For me it is no micro.
If I'm a bit far from getting a GA or want a Dark Age then I tend to not go after the easy Era Score, e.g. no Galley, maybe hold-off getting Suzerain or founding my Religion. In a pinch, I might also hold off the Era Score bump you get from your Tier 1 Government, but only by a few turns because that first Government is so important[1].
Other than that, I might hold off clearing a barb camp. That can actually be a fun little decision - I can hold off clearing the camp to save the Era score, but then I risk the camp spawning units (although, usually not really a problem because I'll station a unit to control scouts).
Other than that, no, I can't be bother micro-managing Era Score either.
[0] Linking loyalty to Religion was such a great change, as is linking Loyalty to Grievances. I know I've said this elsewhere too many times already, but I think the bit Loyalty is really missing is something akin to Ideological pressure from BNW. I also wish there were a few more ways Religion and Loyalty interacted, just something simple e.g. maybe some policy cards based around Holy Sites.
[1] I think Civ's Civics Tree has always been designed on the assumption you might delay getting your first tier government in favour of getting some of the early leaf techs or getting Theatre Squares etc first. I really like that dynamic. True, it basically always makes sense to just bee-line early Government, but just to change things up it can be fun delaying and prioritising other things. The fact that Era score is now part of the equation just makes that decision a tad more interesting, and I think is a good example of how FXS adding mechanics can sometimes help make the design of existing mechanics shine a bit more.