Since we don't know the mechanism(s) by which neurons die, and loss of function is often nonlinear, it would be pointless to suggest that we know everything that will or won't affect progression. And that answer is likely different person to person.
As with any invasive medical procedure, my question to the clinic before signing a consent form would be "Why do I need this? In what way could it affect my treatment outcomes?"
LPs are being done for research in ALS toward potential CSF markers of dz/progression but the decision to incur a non-zero risk of adverse events [including unknown effects on your ALS progression] in order to help the future is a personal choice. Of course, there may be some other reason in your case though you don't seem to fit any of the traditional indications for an LP, so I would want to know explicitly what it is.
From Mayo Clinic:
Though lumbar puncture is generally recognized as safe, it does carry some risks. These include:
Post-lumbar puncture headache. About 40 percent of people who have undergone a lumbar puncture develop a headache afterward due to a leak of fluid into nearby tissues. The headache typically starts several hours up to two days after the procedure and may be accompanied by nausea, vomiting and dizziness. Post-lumbar puncture headaches can last from a few hours to a week or more.
Back discomfort or pain. You may feel pain or tenderness in your lower back after the procedure. The pain might radiate down the back of your legs.
Bleeding. Bleeding may occur near the puncture site or, rarely, into the epidural space.
Brainstem herniation. Increased pressure within the skull (intracranial), due to a brain tumor or other space-occupying lesion, can lead to compression of the brainstem after a sample of cerebrospinal fluid is removed. A computerized tomography (CT) scan or MRI prior to a lumbar puncture can be obtained to determine if there is evidence of increased intracranial pressure. This complication is uncommon.