No, international roaming in Honduras is generally not free with mobile plans from the EU, UK, or US.
The "roam like at home" benefit for EU plans applies exclusively within the European Union and European Economic Area. Similarly, UK and US mobile providers typically charge premium rates for international roaming in countries like Honduras, which is outside their standard roaming zones. You can expect high costs for data usage, calls, and texts, potentially leading to significant charges on your monthly bill.
To avoid expensive roaming fees while traveling through cities like Tegucigalpa or San Pedro Sula, consider using an eSIM. An eSIM provides a convenient and much more affordable way to access mobile data, allowing you to stay connected to the strongest available major network, such as Tigo or Claro, without relying on your home provider's costly international roaming services.