My first thought would be that this is a great idea, but then I realized that only YHWH was transcribed in Paleo Hebraic (the same as is found in the transcriptions in the DJD series). The transcriptions are quite very helpful for those who do not read the Paleo Hebraic script fluently and the transcription include the notation for uncertain letters. Additionally, anything that might matter by looking at the actual script would require looking at the photographs because questions about letter transcriptions or other orthographic features cannot be answered in any transcription of the text.
That being said, It would be nice to have a search that would identify Paleo Hebraic text (even if it wasn't displayed), but I am not sure that anything other than YHWH is in the current database, so it is likely that only hits for YHWH would be found anyway. And as noted above, any significant work that required the evaluation of the Script should involve the photographic copies and not a transcription.
The following is from 4Q22 (4Q Paleo Exodus) in photograph and from Accordance.
4Q22 DSS.jpg 118.04KB
4Q22 Accordance.jpg 106.91KB