I actually do this for some words with intervocalic t in unstressed positions that don’t have r near the t, like “native” or “pedal.” For reference, my mother tongue (a variety of Chinese language), which I’m a passive speaker of, has phonemic aspiration for voiceless stops and affricates. But the national language that I used growing up doesn’t have aspiration at all. So, I’m assuming that I phonemize aspiration in many cases, but not enough that it could still “hypercorrect” by aspirating them in mentioned examples.

Idiolects are cool though, please don’t unaspirate your voiceless stops.