wait, that sounds like it would work! why is it a trap?
Too slow. Sometimes I got no Golem in hand, sometimes I got Golem and either Coppersmith or Counting House getting a terminal conflict. Took 19 turns to get 4 Provinces.
Yeah, if it's a Province game, I'm positive that you would be better off replacing the Coppersmith with a Copper... though I believe that's been shown to still be too slow for most boards.
I think the problem with these setups is that if you don't get to $8, there's nothing you can buy to improve your deck. You non-Golem hands are aren't just weak... they're very nearly wasted.
IMO, an deck like this desperately wants a sifting +action, both to draw the Golems more frequently and to play the terminals that collide with them. I recently stumbled into a similar setup: 1 Golem, 2 Scheme, 2 Apothecary, and 1 Coppersmith. To my surprise, that was good for something like 7 provinces in 15 turns despite an unopposed enemy Sea Hag.
I definitely would have added an Arrested Development if it had been in the kingdom.