abesteSIM does not provide a truly unlimited data eSIM for Martinique. The plans listed for Martinique offer a fixed data allowance, either 1GB per day or a total of 50GB for the validity period. For example, the eSIM Asia+Europe 52 Regions – 1 Day / Unlimited 5Mbps plan gives 1 GB/day for 1 day, and the eSIM Asia+Europe 52 Regions – 3 Days / Total 50GB plan provides a total of 50 GB for 3 days. Once the allocated data is used, the speed is reduced (to 5000 kbps for the 1 GB/day plans and to 128 kbps for the 50 GB plans). If you need more data, you could choose a higher‑cap fixed plan, but no unlimited‑data option is available.