While perhaps not as powerful (although I'm sure it could be), New-Macross class gunship units are probably more efficient and have more options than the original.
Any large-scale ship (Larger Zentradi and even the New Macross-class) should have enough energy to overcome more serious issues of folding, so this issue doesn't appear to be limited to just human or Zendradi ships. I would wager that in this case, size matters. The more energy from the powerplant, the less issues there are in folding. Hence, another reason the need for 2 fold boosters on those VF-171s. Ships like the Uraga carriers, frigates, or Macross Quarter may have less issues than VFs using a fold-booster but a few more than the New Macross-class.
The specs for the 2040-era VF fold booster seem to indicate issues beyond the 20-light year mark for 1-way trips.