I haven’t thought about that particular question before, but I’ve thought a lot about the growth in presidential power and Congress’s inability to rein it in. My answer is, at the margin, yes, but how effective would depend on the structure of that unicameral legislature.

The Framers envisioned Congress as one institution set up against another institution, the two of which could check each other effectively. What they did not seem to realize is that Congress is not one institution, not in any functionally coherent sense. Even more, it’s not simply two institutions, as we might think because it is bicameral.

In 1885, when Congress generally dominated the president, Woodrow Wilson wrote his doctoral thesis on how Congress did not provide good leadership because each member being responsible to a regionally limited set of voters, it could not focus on the national interest, only on a competing set of regional interests.

So what has changed to make presidents more powerful? Not the structure of Congress, but the system of selecting presidential nominees. Congress could dominate presidents back then because party leaders selected presidential nominees. Today the general public selects them, so party leaders, including Congressmembers, have lost that power over presidential hopefuls.

Source: Could a Unicameral Congress Better Rein in Presidential Power? | The Bawdy House Provisions