It would be great to be able to set specific lead label to leads from different webforms or chatbots in the "submit options" panel.
Right now you can prefix the lead/deal name.
You can set up an automation to update a custom field though based on the contest of the lead/deal name.
Yeah, I know about this workaround. But if you have many forms eg. for different events or traid fairs updating the automation is quite a work.