Yes, both JinaChat and alphachat offer a Free Trial.
Pricing for JinaChat Starts at $9.99/month whereas for alphachat Starts at $399/month.
alphachat offers several advantages, including Quick setup, Efficiency improvement, Pre-trained in all languages, 24/7 service availability, Advanced FAQ handling and many more functionalities.
The cons of alphachat may include a Requires English for training, Possible disclosure of CRM data, Limited customization of widget triggers, Didn't mention encryption of data. and Some restriction in API usage