My therapist has not done EMDR, not sure if it is in his training (he's an older dude, older than EMDR at least!) but I am interested in what it involves? I've read a little about the eye movements, tapping etc. My T says there is research that says it it great for trauma related anxiety.

From what little I know about EMDR, maybe your T is trying to focus on specific events to focus on in EMDR because "vague" scenarios are less effective than conjuring up specific memories or events from the past.