That is not likely a stuck lifter. Once the lifter extends fully, the space under the plunger fills with oil and will feel totally solid. Oil is not compressible, it is metered out of the lifter valving very slowly and only keeps the valve train at "0" lash or slop. The running load that a lifter see during normal operation is several hundred pounds and it resists leaking down under the rapid loading and unloading.
You need to place a load on it ~75# for a 30 - minute to see it move enough to remove the retainer ring while holding the load on it. Leak it down and lock the press quill to remove the retainer.
This lifter is not stuck compressed. It is fully extended. The plunger is resting on the retaining clip.
Replacing any part without good evidence and a chance that it will fix the issue, is not a good plan. The lifter has worn in the to lobo and the cam lobe has worn into the lifter. Wisdom says that a new lifter will not match the particular lobe shape and surface. That means that the new lifter and lobe will make contact on the high spots only. That makes the Hertzian contact stress (only using this term because you are a professor) go through the roof. Bearing interface failure is very likely under those conditions
Have you measure lifter preload?
With the noisy cylinder at tdc on the compression stroke( both valves closed for 1/2 revolution of the crank), is the pushrod loose with up and down play? If you loosen the rocker assembly and watch the pushrod, does it rise like the lifter is extending? If you have a rise of >.035" you are good.
Unfortunately this looks more and more like an oil flow problem.
I'd just throw a couple new lifters at it. they will wear in just fine. I ran my 345 with two lifters (replacements of likely china origin) that bleed down after a couple hours on a questionable cam for 4 years and 15k Km. Only just pulled engine due to blow by and an LS swap. I was still getting 12 MPG on this engine. The lifters would tick for 10-20 seconds on start up, pump up and be fine. What do you have to lose at this point?