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More like coda restrictions.
Languages have a sort of "perfect syllable": start with a single consonant, end with a vowel. Ba-ba-ba.
If you have to have an imperfect syllable, the next best thing is a single consonant + vowel + single consonant.
Not all consonants are created equal. We prefer nasals and sounds like "s". Stops like "t" and "d" tend to die. Look at Spanish in the last century: already with few coda consonants, even coda "s" has bitten the dust in informal speech in much of the Spanish-speaking world.
In AAVE ("black English"
in the US, coda consonants are often gone. English lengths vowels before voiced (unaspirated) consonants), so often you hear "ba" versus "baa" for "bat" versus "bad" in very fast, very informal speech. We're good at filling in the missing sounds, if your speech requires them.
Language contact is a fun thing to study. A mix of substratum and adstratum influences with linguistic universals.
I'd point out, though, that if this was the influence of English on a Native American language there'd be cries of outrage. Instead it's sort of nice. It's the same effect for the same reasons, of course, with the real difference being political, social, and ideological bias. It's a Western educated thing to be biased in precisely that way, while those neither Western nor educated--lic. a majority--agree with our biases. We're often not even for ourselves, meaning nobody's on our side, including us.
Hope it helps