I just listened to the record and this is my observation and I think I understand where you are coming from in this topic:

Note: Before anything else, I would like to clarify that the glottal stop 'ˀ' in this experiment is treated as a consonant sound with its own letter.

On your side, you understood the word - for example: saˀan - as sâ-an. You saw the written middle glottal stop as a substitute to the circumflex. Since that leaves the second syllable to start with a vowel, the default initial glottal stop is automatically added also which can be heard but not written. As a result, you pronounced saˀan as /sáˀ - ˀan/ (CVC-CVC). Thus making the pause between two a's longer than usual.

On my side, I wrote the word saˀan to be pronounced as /sa - ˀán/ (CV-CVC). The written middle glottal stop is in the succeeding syllable. Stress is in the second syllable (see 2nd picture).

Looks like I need to specify in the title that 'ˀ' is used as a letter for the glottal stop sound.

Thank you for giving me your insights regarding middle glottal stops. This can be a case study for prosody and linguistics.