Can Thailand be exempted from visa for more than 2 times?

Yes.

There is no clear limit on the number of visa-free entries into Thailand. Travelers can use the visa-free entry to Thailand multiple times. Frequent use of visa-free entry to Thailand will attract the attention of immigration officials, who will review entry applications. Immigration officials evaluate each entry's compliance based on the individual's travel history, length of stay, and other relevant factors. There is no clear limit on the number of entries per year or per entry.