I've heard this sentiment, but I'm not sure if it's real.
Republicans are just as adept at constructing things as deconstructing things. Look at No Child Left Behind (fundamental reconstruction of education), the Department of Homeland Security and the TSA (large new bureaucracies), or the TCJA (fundamental reconstruction of the tax system).
I think what we actually witness in government is two different phenomenons. First, Republicans act as a largely cohesive block that requires less coalition building. Second, Republican governing philosophy has as a central tenet the idea that government is inefficient and market-based solutions are better, from Reagan's "The nine most terrifying words in the English language are: I'm from the Government, and I'm here to help." to Grover Norquist's Starve the Beast theory "My goal is to cut government in half in twenty-five years, to get it down to the size where we can drown it in the bathtub."
And the inverse of this is also true, there is an aphorism about the two parties voters, "Democrats fall in love, Republicans fall in line." It seeks to explain why getting voters that agree with Democratic policies to the polls seems to be more difficult than getting voters that agree with Republican policies to the polls. This extends to the politicians, who pick largely from the same menu of issues but at different priority levels. This leads to the Democrats having to expend more effort to build coalitions, an example would be something like healthcare reform. Market-based solutions like the ACA have as much a home in the Democratic party as government-based solutions like Medicare For All (M4A). With a wider gamut of policy positions, more effort inevitably must be spent getting people to consensus.
This means that Republican governments get more of their goals done, and because of their governing philosophy many of those things are deconstructing existing programs. They are capable of putting new programs into place, I named a few but there are others, so it doesn't seem to me that the main difference is constructing new thing vs deconstructing existing things, but the amount of effort it requires to get your coalition to take action.
This all is an analysis of the efficacy of the two parties in accomplishing their goals, without really treading on the more dangerous ground of "who has the better goals?" I, like everyone else, have some opinion no this matter, but to try to keep the inevitable angry responses when discussing politics to a minimum, I'm going to just avoid discussing that altogether.