Are there restrictions to consumption smoothing in Latin American countries? Differences between OLS and GLS estimation

We study empirically how close consumption-smoothing models employing present-value relationships fit data for Latin-American countries, either in an open-economy or closed-economy environment. Bivariate VARS are estimated using either individual-system or a joint-system techniques (OLS or GLS - SURE). The latter are more efficient, as is widely known. Interestingly, Wald-Test results for OLS estimates are consistent with consumption smoothing, while GLS are not. However, this last result contradicts previous literature on this issue, which have found that Latin-American countries conform to consumption-smoothing models, with free-capital mobility and no liquidity constraints, which seems odd, given these countries' recent history