How to update multiple the persistence profile of multiple virtual servers?

I'd recommend an external Python using Python SDK:

pip install f5-sdk

Then to start your script the first thing is to import the pip module you've just installed with above command:

# Import the F5 module
from f5.bigip import ManagementRoot

Now, to define the variables, you can use dataclasses like this:

>>> from dataclasses import dataclass
>>> @dataclass
... class f5_box:
...     hostname: str
...     username: str
...     password: str
...
...
>>> box1 = f5_box(hostname='example1.com', username='root', password='mypasswd')
>>> box1.hostname
'example1.com'
>>> box1.username
'root'
>>> box1.password
'mypasswd'
>>>

So in your code, you can access each box and "inside" of each object, you'll find username, hostname and password and you can iterate through each of the boxes and perform the changes you want.

Here's a sample of the code for you to get comfortable with: https://lessonsintech.wordpress.com/2018/06/26/f5-python-sdk-basics/

Unfortunately, I don't have a BIG-IP to test here, otherwise I'd be happy to come up with such a script for you.

Good luck.