Of course everything is subject to every individuals perception but,,,,,,

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Most any decent primer isn't really gonna be an easy weld thru. Most of the affordable off the shelf weld thru's are a blend of weld thru (heavy etch & heavy zinc) and a so-so primer. The really good weld thru's run about 30 bucks for the tall rattle can.
Most weld throughs work pretty well if you're running stick which has the necessary arc force to blow it out of there. That may not be what you want for your application. Maybe if you're doing 3/16ths or 1/4 where you can crank it up, not sure.
If you aren't doing a lot what I do for long waiting periods on hit and run projects is a light primer, then go back in with a small brush, like a tooth brush, acetone and just clean that little swath you want to weld.
Here's a semi interesting read.
http://www.autobodystore.com/forum/archive/index.php/t-1351.html