Veil piercing requires very specific factual showings that vary by state but generally fall into these categories: (1) commingling of funds and personal/business assets, (2) failure to follow corporate formalities, (3) undercapitalization at relevant times, (4) using the LLC to perpetrate fraud, (5) unity of interest such that "the LLC is the alter ego of the owner."
From your facts (separate books, separate bank account, properly dissolved), the threshold is high. The $4,200 amount is also low, vendor would have to invest $5-10k in litigation to potentially recover that, which doesn't pencil out.
Practical advice: don't ignore but don't capitulate. Informational only.