Amen!
On a big project like a TV or boatanchor, I check off every cap in three places -- the schematic, parts list, and parts layout diagram (if there is one) -- when I replace it.
Seems like overkill at times, but you're right, it's very easy to overlook something in a cramped corner. And none of the old papers or electrolytics should be left in service if you want the TV to work for any length of time.
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html