Giant unilamellar vesicles (GUVs) are single-walled, closed phospholipid bilayers that are useful as cellular mimics for synthetic biology and drug delivery. The assembly of GUVs in solutions of ionic concentrations >150 mM Na/KCl (salty solutions) is challenging. Here, we investigate the effects of temperature, chemical identity of small molecule and macromolecular polymers on the molar yield of free-floating GUVs in salty solutions using high resolution confocal microscopy and large dataset image analysis. We find that low gelling temperature agarose is the singular compound that produces free-floating GUVs at molar yields >10 % in salty solutions. All other macromolecular polymers, such as polyvinyl alcohol (PVA), fructose, and ultralow gelling temperature agarose, produced yields of GUVs of <7 %. Surface images show that for these other compounds, the formation of large numbers of lipid-polymer pseudobuds due to polymer dewetting reduces yields of GUVs. We propose a free-energy model of GUV assembly to explain the effects of polymers on the assembly of GUVs. Modulating the adhesion potential by varying ion concentration and valency yielded experimental data that supports our model's prediction - the free-energy for bud formation can be reduced by a contribution to the osmotic pressure of dissolving polymers. These results provide a quantitative comparison between established and novel methodology, as well as experimental and theoretical framework to guide studies for obtaining GUVs in physiological salt solutions.