Even though they used the self-destruct, after the self-destruct went off it didn't completely vaporize the ship.
As you can see in the image above, the stardrive section was still completely intact and only half of the saucer section was gone.
In season 3 of Star Trek: Picard, Geordi was the head of a space Starfleet museum and he managed to take the saucer section of the Enterprise-D that crash landed on Veridian III after ST: Generations and then over the period of many years he revived the Enterprise-D by using a stardrive section from another Galaxy-class ship. He did such a thorough job of reviving her that she flew again to fight the Borg one last time and was victorious!
So do you think Geordi ever considered taking the wreckage of the OG Enterprise to rebuild it for the Starfleet museum? I know that he had the Enterprise-A in the Starfleet museum (which is cool and all but as we all know it isn't the OG Enterprise). I mean, a lot of it is still intact so I think it could be a project worth pursuing for him. I'm not saying he would have to go so far as to make her battle (or even flight) worthy, but rebuild her just enough to be presentable as part of his Starfleet museum. Hell, maybe he could just rebuild the exterior and just simply not bother with the inside.
EDIT: NM. I forgot the planet the Enterprise crashed on (the Genesis planet) also blew up lol. OK, so as @Morpheus 02 suggested, let's shift the conversation to ... what if the Enterprise did NOT fall into the atmosphere....could it have been recovered partially!

As you can see in the image above, the stardrive section was still completely intact and only half of the saucer section was gone.
In season 3 of Star Trek: Picard, Geordi was the head of a space Starfleet museum and he managed to take the saucer section of the Enterprise-D that crash landed on Veridian III after ST: Generations and then over the period of many years he revived the Enterprise-D by using a stardrive section from another Galaxy-class ship. He did such a thorough job of reviving her that she flew again to fight the Borg one last time and was victorious!
So do you think Geordi ever considered taking the wreckage of the OG Enterprise to rebuild it for the Starfleet museum? I know that he had the Enterprise-A in the Starfleet museum (which is cool and all but as we all know it isn't the OG Enterprise). I mean, a lot of it is still intact so I think it could be a project worth pursuing for him. I'm not saying he would have to go so far as to make her battle (or even flight) worthy, but rebuild her just enough to be presentable as part of his Starfleet museum. Hell, maybe he could just rebuild the exterior and just simply not bother with the inside.
EDIT: NM. I forgot the planet the Enterprise crashed on (the Genesis planet) also blew up lol. OK, so as @Morpheus 02 suggested, let's shift the conversation to ... what if the Enterprise did NOT fall into the atmosphere....could it have been recovered partially!
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