Not necessarily. Depending on how the org's set up, the system may be permissioned to access too much stuff. I think justice systems should lean less on a general warrant - too much of a fishing expedition - and instead focus on subpoenas specifically related to their area of investigation. E.g. if they seize the CEO's computer on accounting or tax concerns, I sincerely doubt they showed a judge probable cause to seize, I don't know, new product designs. As such they should not be able to access them.
The point you're making is valid, but also exposes a common theme in litigation against big tech. It's pretty common to hear something like "company XYZ used data ABC to train a model about their users and is court ordered to delete it". It's unlikely that anyone in the justice system has even the slightest clue how to ascertain if this actually happened and certainly no way to prove it has been deleted. The court gives the order, the company says they have complied, & everyone pretends to go back to the way things were before hand.
