How to specify the service template name when using socket activation with Accept=yes

I have multiple .socket files, they listen with Accept=yes. They should all use the same service template to process connections. By default systemd looks for a service template with the same name as the socket, but as I have multiple socket files I would like to all point them to the same service template. There is a setting Service= but that only accepts non-template services and requires Accept=no. Is there any way to specify the service template to invoke from the .socket unit?