I need pointers

At those compression numbers, I cant imagine it being a fast 360. I think hes pulling it for a reason other than wanting a 340.

A truly "fast 360" will have cylinder pressure over 185, and they will all be even within a few psi. The leakdown will be 4% or less. The closer to zero the better.
A nice peppy 360 will have 165 and 4% to 6%
A useable/cruiser 360, will have 145 and up to 6%.
At less than 120, or over 6%, it is IMO is a core.
Just my 2cents.
Dont jump on me. I've run my 360 at over 200psi, and almost un-measureable LD, and that was a fast motor.It was last set up as 185psi and less than 4%. I have had a couple of 145ers which were only good for cruising.
A tight 318can give a loose 360 a good run, and possibly embarrass the 360-owner.

This one at 115/105/135/115, I would only purchase as a core.$600 is a good start on a freshening.
Why would someone pull a "fast " 360 to replace with a 340 , unless they are going for an original resto . Something is off , 105 - 130 cyl press is not good . Might be good for a rebuild base , but at 150.00 , not 600 .