Right
堂 supplies the sound - táng exactly, just retoned to tāng. Pure phonetic role; the 'hall' meaning contributes nothing semantically. Same phonetic family:
趟 a trip / measure word for trips,
倘 if,
淌 to flow down. The trip-related cousins (
趟,
淌) hint at why
蹚 acquired its 'to wade across' sense - all involve directed forward movement.