I'd be concerned with what happens if years later you want to remove that clear vynl. Will parts of it stick or leave residue? I agree LP's and most guitars tend to look better without pickguards though. I would just remove the guard and leave it at that.
There are clear acrylic or transit vinyl film pickguards that folks use on Acoustic guitars all the time. you can peel them off, stick them back on, pretty much as many times as you wish.
None of it leaves a residue or damages the guitar. I've got a three-grand Taylor that uses one; no issues.