Because it is a process, I have to go on their premises and prove that they are stealing my process. You must obtain a warrant to do that (because otherwise it is trespassing), and because competitors could just willy nilly claim "you're stealing my process" in a spurious fashion to gain access to the premises (and learn about what competitors are doing), judges typically put up a very high burden of proof to issuing those warrants.
You'll effectively never be able to enforce a process patent, so you're better off never patenting it and keeping it a trade secret instead, that way you have a bit of a moat.
By contrast, for a molecule or plant patent, the existence of the product is proof of infringement, so it's easier to enforce infringement.
For a molecule patent, you do not need to disclose the method you use to make it. IANA(P)L, You might be required to disclose one way of making the molecule, but it almost certainly doesn't have to be the way that you do it "in prod".
Ultimately, if you rely on keeping a process secret, you will most likely fail. Processes are trivial to copy, patent or not, and if you don't file a patent then it's not even illegal to copy your process when, not if, it becomes known.
Warrants are granted to law enforcement, not in civil suits between corporations. The word is subpoena, and if you knew even the basics of what you're talking about, you'd use correct terminology.
Legal discovery usually doesn't have a "very high burden of proof," because there are very reasonable ways to compartmentalize information. Legal discovery usually leads to a ton of transparency, at least to the legal teams on both sides (and a firewall, so that can't go over to the engineers).
MOST executives are diligent about responding to subpoenas. Judges have broad discretion for contempt-of-court, up to and including prison. If you're the CEO of BioCorp, and you can:
1) Respond promptly, completely, and accurately. Risk: You might wipe $200 million off of your books and cost each investor $2
OR
2) Stonewall the court or lie. Risk: You might get thrown in prison.
Which do you do? Most executives pick responding promptly. Not all, but most.
Most companies are super-careful not to infringe patents that they know about, because it's not fun. Unless it's a case of mutually-assured destruction. There are whole industries where everyone infringes, and no one sues anyone.