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What does it mean that the decomposition is based on the linear systematic component? And how can I interpret my result?

To your first question - What does it mean that the decomposition is based on the linear systematic component? This means that the decomposition implemented here is on the log-odds (logit) scale. For ...
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How to obtain uncentered factor scores from Factor analysis

For the use case of interpreting the resulting factor scores with a "the higher the better" interpretation, we could use the (usual) factors scores using the centered input data. The ...
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How to obtain uncentered factor scores from Factor analysis

In your second referred post (PCA scores in a for portfolio replication task: stumble over mean-centering question), @ttnphns, you provide an example with centered Principal Components (denoted as PC) ...
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