But the changes in the electoral system between 1824 and 1828 were to some degree due to the belief that the Eastern elites had conspired to rob Jackson of the Presidency in 1824. While it easily could have been someone else, Jackson was the catalyst for those changes happening more rapidly than otherwise would have been the case.
Baloney.
I don't dispute that Jackson benefited from the shift to universal white male suffrage, but the reaction to the election of 1824 is what killed off having State legislatures select electors without submitting the result to the people. In the elections of 1824 and earlier, a significant fraction of the electors were chosen by the State legislators. Afterward, the sole exception was South Carolina, where the General Assembly was able to maintain a monopoly on power.