Stress shift

To continue plague the list with more questions about naturalness/plausibility,
the development of Steienzh as currently envisaged requires that the language
within a relatively short period (a few centuries at the maximum) moved the
formerly phonemic stress (which could occur on any stem syllable, as well as on
certain affixes) to the initial syllable of words, whereupon it started pretty
drastic reductions of unstressed vowels. Is there any natlang precedent for a
such change? I'm able to invoke rather heavy substratum influences, if that
helps.

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