Dash,
You’re right that the screen size is important – I recommend that anyone using the “wmic” method of determining their model also measures their screen size diagonally, e.g. from the lower left corner to the upper right corner.
As far as resolution/aspect (is there any difference?) and screen technology, I’d be surprised if a particular model came with different default resolutions and screen technologies for the same screen size. Reseller sites seem comfortable suggesting a replacement screen based on the model and screen size.
As far as you know, are there manufacturers that sell the same model / screen size with different screen technologies?