There are a plethora of words in the English language in which the phonemes /t/ and /d/ appear between two vowels, whether they be in adjacent syllables in the same word or in different words as a result of linking. There seems to be quite a bit of variance in the realizations of /t/ and /d/ in these positions throughout the English-speaking world, with many relevant phonetic phenomena, sound changes, and allophonic realizations. These include tapping/flapping, glottaling, spirantization, affrication, and probably many others.
In North America, the sounds represented by ⟨t⟩ and ⟨d⟩ are often realized as an alveolar tap, [ɾ], when they appear between vowels (tapping). This also occurs in some other regions from time to time. In the United Kingdom, especially in London and other cities in Southeastern England, intervocalic /t/ is very often realized as a glottal stop, [ʔ] (glottaling). In other accents of the British Isles, such as some Irish, Liverpool, and historical RP accents, the fortis coronal stop may not be fully occluded between vowels and can be realized as a constricted fricative like [s] (spirantization). Finally, some people produce an affricated /t/ or /d/ which is held like an occlusive, then released like a fricative (affrication).
This seems like quite a mess of complexity to me. I don't think any consonants other than the coronal plosives /t/ and /d/ (especially the former) are likely to be produced with such a range of disparate pronunciations in intervocalic positions. This implies to me that for some reason, these phonemes in these environments are somehow unstable and liable to quicker sound changes in English than other phonemes. I am wondering why this is the case. I also wonder if other languages show similar variance in the realization of their intervocalic coronal sounds.